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Finding the Fourth Proportional to 6,397.92, 9,594.96 and 2,016.48

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Solution

The fourth proportional to 6,397.92, 9,594.96 and 2,016.48 is: 3,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.92 : 9,594.96 = 2,016.48 : x
  2. Step 2: Convert to fraction form
    6,397.92/9,594.96 = 2,016.48/x
  3. Step 3: Cross multiply
    6,397.92x = 9,594.96 × 2,016.48
  4. Step 4: Simplify right side
    6,397.92x = 19,348,044.94
  5. Step 5: Solve for x
    x = 19,348,044.94/6,397.92
  6. Step 6: Final answer
    x = 3,024.11

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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.