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Finding the Fourth Proportional to 9,251.62, 13,907.50 and 7,422.74

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Solution

The fourth proportional to 9,251.62, 13,907.50 and 7,422.74 is: 11,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.62 : 13,907.50 = 7,422.74 : x
  2. Step 2: Convert to fraction form
    9,251.62/13,907.50 = 7,422.74/x
  3. Step 3: Cross multiply
    9,251.62x = 13,907.50 × 7,422.74
  4. Step 4: Simplify right side
    9,251.62x = 103,231,756.55
  5. Step 5: Solve for x
    x = 103,231,756.55/9,251.62
  6. Step 6: Final answer
    x = 11,158.24

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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.