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Finding the Fourth Proportional to 7,654.62, 10,569.60 and 6,238.53

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Solution

The fourth proportional to 7,654.62, 10,569.60 and 6,238.53 is: 8,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.62 : 10,569.60 = 6,238.53 : x
  2. Step 2: Convert to fraction form
    7,654.62/10,569.60 = 6,238.53/x
  3. Step 3: Cross multiply
    7,654.62x = 10,569.60 × 6,238.53
  4. Step 4: Simplify right side
    7,654.62x = 65,938,766.69
  5. Step 5: Solve for x
    x = 65,938,766.69/7,654.62
  6. Step 6: Final answer
    x = 8,614.24

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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.