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Finding the Fourth Proportional to 7,757.71, 11,548.82 and 7,711.58

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Solution

The fourth proportional to 7,757.71, 11,548.82 and 7,711.58 is: 11,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.71 : 11,548.82 = 7,711.58 : x
  2. Step 2: Convert to fraction form
    7,757.71/11,548.82 = 7,711.58/x
  3. Step 3: Cross multiply
    7,757.71x = 11,548.82 × 7,711.58
  4. Step 4: Simplify right side
    7,757.71x = 89,059,658.98
  5. Step 5: Solve for x
    x = 89,059,658.98/7,757.71
  6. Step 6: Final answer
    x = 11,480.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.