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Finding the Fourth Proportional to 8,841.92, 12,200.16 and 6,046.40

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Solution

The fourth proportional to 8,841.92, 12,200.16 and 6,046.40 is: 8,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.92 : 12,200.16 = 6,046.40 : x
  2. Step 2: Convert to fraction form
    8,841.92/12,200.16 = 6,046.40/x
  3. Step 3: Cross multiply
    8,841.92x = 12,200.16 × 6,046.40
  4. Step 4: Simplify right side
    8,841.92x = 73,767,047.42
  5. Step 5: Solve for x
    x = 73,767,047.42/8,841.92
  6. Step 6: Final answer
    x = 8,342.88

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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.