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Finding the Fourth Proportional to 6,987.67, 9,656.82 and 5,726.73

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Solution

The fourth proportional to 6,987.67, 9,656.82 and 5,726.73 is: 7,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.67 : 9,656.82 = 5,726.73 : x
  2. Step 2: Convert to fraction form
    6,987.67/9,656.82 = 5,726.73/x
  3. Step 3: Cross multiply
    6,987.67x = 9,656.82 × 5,726.73
  4. Step 4: Simplify right side
    6,987.67x = 55,302,000.80
  5. Step 5: Solve for x
    x = 55,302,000.80/6,987.67
  6. Step 6: Final answer
    x = 7,914.23

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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.