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Finding the Fourth Proportional to 10,600.52, 14,576.84 and 9,200.84

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Solution

The fourth proportional to 10,600.52, 14,576.84 and 9,200.84 is: 12,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.52 : 14,576.84 = 9,200.84 : x
  2. Step 2: Convert to fraction form
    10,600.52/14,576.84 = 9,200.84/x
  3. Step 3: Cross multiply
    10,600.52x = 14,576.84 × 9,200.84
  4. Step 4: Simplify right side
    10,600.52x = 134,119,172.55
  5. Step 5: Solve for x
    x = 134,119,172.55/10,600.52
  6. Step 6: Final answer
    x = 12,652.13

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.