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Finding the Fourth Proportional to 6,648.72, 9,964.17 and 5,402.13

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Solution

The fourth proportional to 6,648.72, 9,964.17 and 5,402.13 is: 8,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.72 : 9,964.17 = 5,402.13 : x
  2. Step 2: Convert to fraction form
    6,648.72/9,964.17 = 5,402.13/x
  3. Step 3: Cross multiply
    6,648.72x = 9,964.17 × 5,402.13
  4. Step 4: Simplify right side
    6,648.72x = 53,827,741.68
  5. Step 5: Solve for x
    x = 53,827,741.68/6,648.72
  6. Step 6: Final answer
    x = 8,095.96

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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.