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Finding the Fourth Proportional to 7,757.84, 11,549.00 and 7,711.70

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Solution

The fourth proportional to 7,757.84, 11,549.00 and 7,711.70 is: 11,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.84 : 11,549.00 = 7,711.70 : x
  2. Step 2: Convert to fraction form
    7,757.84/11,549.00 = 7,711.70/x
  3. Step 3: Cross multiply
    7,757.84x = 11,549.00 × 7,711.70
  4. Step 4: Simplify right side
    7,757.84x = 89,062,471.45
  5. Step 5: Solve for x
    x = 89,062,471.45/7,757.84
  6. Step 6: Final answer
    x = 11,480.33

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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.