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Finding the Fourth Proportional to 10,691.40, 16,037.10 and 5,147.40

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Solution

The fourth proportional to 10,691.40, 16,037.10 and 5,147.40 is: 7,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.40 : 16,037.10 = 5,147.40 : x
  2. Step 2: Convert to fraction form
    10,691.40/16,037.10 = 5,147.40/x
  3. Step 3: Cross multiply
    10,691.40x = 16,037.10 × 5,147.40
  4. Step 4: Simplify right side
    10,691.40x = 82,549,368.54
  5. Step 5: Solve for x
    x = 82,549,368.54/10,691.40
  6. Step 6: Final answer
    x = 7,721.10

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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.