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Finding the Fourth Proportional to 10,765.34, 16,148.94 and 2,974.16

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Solution

The fourth proportional to 10,765.34, 16,148.94 and 2,974.16 is: 4,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.34 : 16,148.94 = 2,974.16 : x
  2. Step 2: Convert to fraction form
    10,765.34/16,148.94 = 2,974.16/x
  3. Step 3: Cross multiply
    10,765.34x = 16,148.94 × 2,974.16
  4. Step 4: Simplify right side
    10,765.34x = 48,029,531.39
  5. Step 5: Solve for x
    x = 48,029,531.39/10,765.34
  6. Step 6: Final answer
    x = 4,461.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.