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Finding the Fourth Proportional to 17,546.76, 24,215 and 9,588.92

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Solution

The fourth proportional to 17,546.76, 24,215 and 9,588.92 is: 13,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.76 : 24,215 = 9,588.92 : x
  2. Step 2: Convert to fraction form
    17,546.76/24,215 = 9,588.92/x
  3. Step 3: Cross multiply
    17,546.76x = 24,215 × 9,588.92
  4. Step 4: Simplify right side
    17,546.76x = 232,195,697.80
  5. Step 5: Solve for x
    x = 232,195,697.80/17,546.76
  6. Step 6: Final answer
    x = 13,232.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.