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Finding the Fourth Proportional to 12,523.38, 17,282.80 and 6,934.38

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Solution

The fourth proportional to 12,523.38, 17,282.80 and 6,934.38 is: 9,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.38 : 17,282.80 = 6,934.38 : x
  2. Step 2: Convert to fraction form
    12,523.38/17,282.80 = 6,934.38/x
  3. Step 3: Cross multiply
    12,523.38x = 17,282.80 × 6,934.38
  4. Step 4: Simplify right side
    12,523.38x = 119,845,416.25
  5. Step 5: Solve for x
    x = 119,845,416.25/12,523.38
  6. Step 6: Final answer
    x = 9,569.74

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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.