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Finding the Fourth Proportional to 7,454.44, 11,167.08 and 6,140.08

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Solution

The fourth proportional to 7,454.44, 11,167.08 and 6,140.08 is: 9,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.44 : 11,167.08 = 6,140.08 : x
  2. Step 2: Convert to fraction form
    7,454.44/11,167.08 = 6,140.08/x
  3. Step 3: Cross multiply
    7,454.44x = 11,167.08 × 6,140.08
  4. Step 4: Simplify right side
    7,454.44x = 68,566,764.57
  5. Step 5: Solve for x
    x = 68,566,764.57/7,454.44
  6. Step 6: Final answer
    x = 9,198.11

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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.