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Finding the Fourth Proportional to 7,107.13, 9,807.47 and 3,962.71

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Solution

The fourth proportional to 7,107.13, 9,807.47 and 3,962.71 is: 5,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.13 : 9,807.47 = 3,962.71 : x
  2. Step 2: Convert to fraction form
    7,107.13/9,807.47 = 3,962.71/x
  3. Step 3: Cross multiply
    7,107.13x = 9,807.47 × 3,962.71
  4. Step 4: Simplify right side
    7,107.13x = 38,864,144.83
  5. Step 5: Solve for x
    x = 38,864,144.83/7,107.13
  6. Step 6: Final answer
    x = 5,468.33

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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.