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Finding the Fourth Proportional to 6,448.30, 9,672.90 and 2,552.20

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Solution

The fourth proportional to 6,448.30, 9,672.90 and 2,552.20 is: 3,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.30 : 9,672.90 = 2,552.20 : x
  2. Step 2: Convert to fraction form
    6,448.30/9,672.90 = 2,552.20/x
  3. Step 3: Cross multiply
    6,448.30x = 9,672.90 × 2,552.20
  4. Step 4: Simplify right side
    6,448.30x = 24,687,175.38
  5. Step 5: Solve for x
    x = 24,687,175.38/6,448.30
  6. Step 6: Final answer
    x = 3,828.48

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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.