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Finding the Fourth Proportional to 23,531.76, 35,301.96 and 7,737.68

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Solution

The fourth proportional to 23,531.76, 35,301.96 and 7,737.68 is: 11,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.76 : 35,301.96 = 7,737.68 : x
  2. Step 2: Convert to fraction form
    23,531.76/35,301.96 = 7,737.68/x
  3. Step 3: Cross multiply
    23,531.76x = 35,301.96 × 7,737.68
  4. Step 4: Simplify right side
    23,531.76x = 273,155,269.85
  5. Step 5: Solve for x
    x = 273,155,269.85/23,531.76
  6. Step 6: Final answer
    x = 11,607.94

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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.