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Finding the Fourth Proportional to 9,169.62, 13,742.01 and 6,566.82

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Solution

The fourth proportional to 9,169.62, 13,742.01 and 6,566.82 is: 9,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.62 : 13,742.01 = 6,566.82 : x
  2. Step 2: Convert to fraction form
    9,169.62/13,742.01 = 6,566.82/x
  3. Step 3: Cross multiply
    9,169.62x = 13,742.01 × 6,566.82
  4. Step 4: Simplify right side
    9,169.62x = 90,241,306.11
  5. Step 5: Solve for x
    x = 90,241,306.11/9,169.62
  6. Step 6: Final answer
    x = 9,841.34

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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.