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Finding the Fourth Proportional to 17,510.40, 24,165 and 10,437.48

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Solution

The fourth proportional to 17,510.40, 24,165 and 10,437.48 is: 14,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.40 : 24,165 = 10,437.48 : x
  2. Step 2: Convert to fraction form
    17,510.40/24,165 = 10,437.48/x
  3. Step 3: Cross multiply
    17,510.40x = 24,165 × 10,437.48
  4. Step 4: Simplify right side
    17,510.40x = 252,221,704.20
  5. Step 5: Solve for x
    x = 252,221,704.20/17,510.40
  6. Step 6: Final answer
    x = 14,404.11

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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.