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Finding the Fourth Proportional to 9,305.76, 12,841.92 and 5,531.52

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Solution

The fourth proportional to 9,305.76, 12,841.92 and 5,531.52 is: 7,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.76 : 12,841.92 = 5,531.52 : x
  2. Step 2: Convert to fraction form
    9,305.76/12,841.92 = 5,531.52/x
  3. Step 3: Cross multiply
    9,305.76x = 12,841.92 × 5,531.52
  4. Step 4: Simplify right side
    9,305.76x = 71,035,337.32
  5. Step 5: Solve for x
    x = 71,035,337.32/9,305.76
  6. Step 6: Final answer
    x = 7,633.48

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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.