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Finding the Fourth Proportional to 7,304.52, 10,947.24 and 6,377.76

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Solution

The fourth proportional to 7,304.52, 10,947.24 and 6,377.76 is: 9,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.52 : 10,947.24 = 6,377.76 : x
  2. Step 2: Convert to fraction form
    7,304.52/10,947.24 = 6,377.76/x
  3. Step 3: Cross multiply
    7,304.52x = 10,947.24 × 6,377.76
  4. Step 4: Simplify right side
    7,304.52x = 69,818,869.38
  5. Step 5: Solve for x
    x = 69,818,869.38/7,304.52
  6. Step 6: Final answer
    x = 9,558.31

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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.