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Finding the Fourth Proportional to 7,463.88, 10,294.92 and 6,467.38

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Solution

The fourth proportional to 7,463.88, 10,294.92 and 6,467.38 is: 8,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.88 : 10,294.92 = 6,467.38 : x
  2. Step 2: Convert to fraction form
    7,463.88/10,294.92 = 6,467.38/x
  3. Step 3: Cross multiply
    7,463.88x = 10,294.92 × 6,467.38
  4. Step 4: Simplify right side
    7,463.88x = 66,581,159.71
  5. Step 5: Solve for x
    x = 66,581,159.71/7,463.88
  6. Step 6: Final answer
    x = 8,920.45

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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.