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Finding the Fourth Proportional to 17,344.48, 23,934.96 and 9,892

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Solution

The fourth proportional to 17,344.48, 23,934.96 and 9,892 is: 13,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.48 : 23,934.96 = 9,892 : x
  2. Step 2: Convert to fraction form
    17,344.48/23,934.96 = 9,892/x
  3. Step 3: Cross multiply
    17,344.48x = 23,934.96 × 9,892
  4. Step 4: Simplify right side
    17,344.48x = 236,764,624.32
  5. Step 5: Solve for x
    x = 236,764,624.32/17,344.48
  6. Step 6: Final answer
    x = 13,650.72

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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.