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Finding the Fourth Proportional to 10,599.52, 14,575.46 and 9,199.84

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Solution

The fourth proportional to 10,599.52, 14,575.46 and 9,199.84 is: 12,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.52 : 14,575.46 = 9,199.84 : x
  2. Step 2: Convert to fraction form
    10,599.52/14,575.46 = 9,199.84/x
  3. Step 3: Cross multiply
    10,599.52x = 14,575.46 × 9,199.84
  4. Step 4: Simplify right side
    10,599.52x = 134,091,899.93
  5. Step 5: Solve for x
    x = 134,091,899.93/10,599.52
  6. Step 6: Final answer
    x = 12,650.75

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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.