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Finding the Fourth Proportional to 6,656.98, 9,987.24 and 2,274.43

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Solution

The fourth proportional to 6,656.98, 9,987.24 and 2,274.43 is: 3,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.98 : 9,987.24 = 2,274.43 : x
  2. Step 2: Convert to fraction form
    6,656.98/9,987.24 = 2,274.43/x
  3. Step 3: Cross multiply
    6,656.98x = 9,987.24 × 2,274.43
  4. Step 4: Simplify right side
    6,656.98x = 22,715,278.27
  5. Step 5: Solve for x
    x = 22,715,278.27/6,656.98
  6. Step 6: Final answer
    x = 3,412.25

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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.