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Finding the Fourth Proportional to 6,497.28, 9,726.72 and 6,132.48

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Solution

The fourth proportional to 6,497.28, 9,726.72 and 6,132.48 is: 9,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.28 : 9,726.72 = 6,132.48 : x
  2. Step 2: Convert to fraction form
    6,497.28/9,726.72 = 6,132.48/x
  3. Step 3: Cross multiply
    6,497.28x = 9,726.72 × 6,132.48
  4. Step 4: Simplify right side
    6,497.28x = 59,648,915.87
  5. Step 5: Solve for x
    x = 59,648,915.87/6,497.28
  6. Step 6: Final answer
    x = 9,180.60

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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.