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Finding the Fourth Proportional to 7,006.57, 9,654.46 and 4,764.56

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Solution

The fourth proportional to 7,006.57, 9,654.46 and 4,764.56 is: 6,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.57 : 9,654.46 = 4,764.56 : x
  2. Step 2: Convert to fraction form
    7,006.57/9,654.46 = 4,764.56/x
  3. Step 3: Cross multiply
    7,006.57x = 9,654.46 × 4,764.56
  4. Step 4: Simplify right side
    7,006.57x = 45,999,193.75
  5. Step 5: Solve for x
    x = 45,999,193.75/7,006.57
  6. Step 6: Final answer
    x = 6,565.15

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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.