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Finding the Fourth Proportional to 9,262.40, 13,859.00 and 5,691.78

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Solution

The fourth proportional to 9,262.40, 13,859.00 and 5,691.78 is: 8,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.40 : 13,859.00 = 5,691.78 : x
  2. Step 2: Convert to fraction form
    9,262.40/13,859.00 = 5,691.78/x
  3. Step 3: Cross multiply
    9,262.40x = 13,859.00 × 5,691.78
  4. Step 4: Simplify right side
    9,262.40x = 78,882,393.25
  5. Step 5: Solve for x
    x = 78,882,393.25/9,262.40
  6. Step 6: Final answer
    x = 8,516.41

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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.