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Finding the Fourth Proportional to 6,987.29, 9,641.39 and 3,962.24

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Solution

The fourth proportional to 6,987.29, 9,641.39 and 3,962.24 is: 5,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.29 : 9,641.39 = 3,962.24 : x
  2. Step 2: Convert to fraction form
    6,987.29/9,641.39 = 3,962.24/x
  3. Step 3: Cross multiply
    6,987.29x = 9,641.39 × 3,962.24
  4. Step 4: Simplify right side
    6,987.29x = 38,201,452.91
  5. Step 5: Solve for x
    x = 38,201,452.91/6,987.29
  6. Step 6: Final answer
    x = 5,467.28

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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.