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Finding the Fourth Proportional to 7,747.38, 11,663.22 and 7,058.47

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Solution

The fourth proportional to 7,747.38, 11,663.22 and 7,058.47 is: 10,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.38 : 11,663.22 = 7,058.47 : x
  2. Step 2: Convert to fraction form
    7,747.38/11,663.22 = 7,058.47/x
  3. Step 3: Cross multiply
    7,747.38x = 11,663.22 × 7,058.47
  4. Step 4: Simplify right side
    7,747.38x = 82,324,470.83
  5. Step 5: Solve for x
    x = 82,324,470.83/7,747.38
  6. Step 6: Final answer
    x = 10,626.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.