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Finding the Fourth Proportional to 7,306.80, 10,906.83 and 6,432

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Solution

The fourth proportional to 7,306.80, 10,906.83 and 6,432 is: 9,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.80 : 10,906.83 = 6,432 : x
  2. Step 2: Convert to fraction form
    7,306.80/10,906.83 = 6,432/x
  3. Step 3: Cross multiply
    7,306.80x = 10,906.83 × 6,432
  4. Step 4: Simplify right side
    7,306.80x = 70,152,730.56
  5. Step 5: Solve for x
    x = 70,152,730.56/7,306.80
  6. Step 6: Final answer
    x = 9,601.02

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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.