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Finding the Fourth Proportional to 8,487.16, 11,711.01 and 4,949.71

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Solution

The fourth proportional to 8,487.16, 11,711.01 and 4,949.71 is: 6,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.16 : 11,711.01 = 4,949.71 : x
  2. Step 2: Convert to fraction form
    8,487.16/11,711.01 = 4,949.71/x
  3. Step 3: Cross multiply
    8,487.16x = 11,711.01 × 4,949.71
  4. Step 4: Simplify right side
    8,487.16x = 57,966,103.31
  5. Step 5: Solve for x
    x = 57,966,103.31/8,487.16
  6. Step 6: Final answer
    x = 6,829.86

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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.