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Finding the Fourth Proportional to 6,531.76, 9,746.18 and 6,134.92

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Solution

The fourth proportional to 6,531.76, 9,746.18 and 6,134.92 is: 9,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.76 : 9,746.18 = 6,134.92 : x
  2. Step 2: Convert to fraction form
    6,531.76/9,746.18 = 6,134.92/x
  3. Step 3: Cross multiply
    6,531.76x = 9,746.18 × 6,134.92
  4. Step 4: Simplify right side
    6,531.76x = 59,792,034.61
  5. Step 5: Solve for x
    x = 59,792,034.61/6,531.76
  6. Step 6: Final answer
    x = 9,154.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.