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Finding the Fourth Proportional to 7,732.67, 10,666.28 and 6,787.71

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Solution

The fourth proportional to 7,732.67, 10,666.28 and 6,787.71 is: 9,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.67 : 10,666.28 = 6,787.71 : x
  2. Step 2: Convert to fraction form
    7,732.67/10,666.28 = 6,787.71/x
  3. Step 3: Cross multiply
    7,732.67x = 10,666.28 × 6,787.71
  4. Step 4: Simplify right side
    7,732.67x = 72,399,632.39
  5. Step 5: Solve for x
    x = 72,399,632.39/7,732.67
  6. Step 6: Final answer
    x = 9,362.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.