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Finding the Fourth Proportional to 7,262.97, 10,878.13 and 6,313.71

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Solution

The fourth proportional to 7,262.97, 10,878.13 and 6,313.71 is: 9,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.97 : 10,878.13 = 6,313.71 : x
  2. Step 2: Convert to fraction form
    7,262.97/10,878.13 = 6,313.71/x
  3. Step 3: Cross multiply
    7,262.97x = 10,878.13 × 6,313.71
  4. Step 4: Simplify right side
    7,262.97x = 68,681,358.16
  5. Step 5: Solve for x
    x = 68,681,358.16/7,262.97
  6. Step 6: Final answer
    x = 9,456.37

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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.