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Finding the Fourth Proportional to 6,987.73, 9,640.21 and 3,962.21

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Solution

The fourth proportional to 6,987.73, 9,640.21 and 3,962.21 is: 5,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.73 : 9,640.21 = 3,962.21 : x
  2. Step 2: Convert to fraction form
    6,987.73/9,640.21 = 3,962.21/x
  3. Step 3: Cross multiply
    6,987.73x = 9,640.21 × 3,962.21
  4. Step 4: Simplify right side
    6,987.73x = 38,196,500.31
  5. Step 5: Solve for x
    x = 38,196,500.31/6,987.73
  6. Step 6: Final answer
    x = 5,466.23

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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.