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Finding the Fourth Proportional to 17,314.38, 25,947.27 and 7,446.24

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Solution

The fourth proportional to 17,314.38, 25,947.27 and 7,446.24 is: 11,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.38 : 25,947.27 = 7,446.24 : x
  2. Step 2: Convert to fraction form
    17,314.38/25,947.27 = 7,446.24/x
  3. Step 3: Cross multiply
    17,314.38x = 25,947.27 × 7,446.24
  4. Step 4: Simplify right side
    17,314.38x = 193,209,599.76
  5. Step 5: Solve for x
    x = 193,209,599.76/17,314.38
  6. Step 6: Final answer
    x = 11,158.91

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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.