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Finding the Fourth Proportional to 7,773.66, 11,600.73 and 7,729.29

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Solution

The fourth proportional to 7,773.66, 11,600.73 and 7,729.29 is: 11,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.66 : 11,600.73 = 7,729.29 : x
  2. Step 2: Convert to fraction form
    7,773.66/11,600.73 = 7,729.29/x
  3. Step 3: Cross multiply
    7,773.66x = 11,600.73 × 7,729.29
  4. Step 4: Simplify right side
    7,773.66x = 89,665,406.38
  5. Step 5: Solve for x
    x = 89,665,406.38/7,773.66
  6. Step 6: Final answer
    x = 11,534.52

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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.