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Finding the Fourth Proportional to 17,343.64, 23,934 and 9,385.69

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Solution

The fourth proportional to 17,343.64, 23,934 and 9,385.69 is: 12,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343.64 : 23,934 = 9,385.69 : x
  2. Step 2: Convert to fraction form
    17,343.64/23,934 = 9,385.69/x
  3. Step 3: Cross multiply
    17,343.64x = 23,934 × 9,385.69
  4. Step 4: Simplify right side
    17,343.64x = 224,637,104.46
  5. Step 5: Solve for x
    x = 224,637,104.46/17,343.64
  6. Step 6: Final answer
    x = 12,952.13

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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.