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Finding the Fourth Proportional to 6,553.71, 9,766.17 and 6,529.41

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Solution

The fourth proportional to 6,553.71, 9,766.17 and 6,529.41 is: 9,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.71 : 9,766.17 = 6,529.41 : x
  2. Step 2: Convert to fraction form
    6,553.71/9,766.17 = 6,529.41/x
  3. Step 3: Cross multiply
    6,553.71x = 9,766.17 × 6,529.41
  4. Step 4: Simplify right side
    6,553.71x = 63,767,328.06
  5. Step 5: Solve for x
    x = 63,767,328.06/6,553.71
  6. Step 6: Final answer
    x = 9,729.96

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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.