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Finding the Fourth Proportional to 12,523.57, 17,282.52 and 6,934.57

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Solution

The fourth proportional to 12,523.57, 17,282.52 and 6,934.57 is: 9,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.57 : 17,282.52 = 6,934.57 : x
  2. Step 2: Convert to fraction form
    12,523.57/17,282.52 = 6,934.57/x
  3. Step 3: Cross multiply
    12,523.57x = 17,282.52 × 6,934.57
  4. Step 4: Simplify right side
    12,523.57x = 119,846,844.72
  5. Step 5: Solve for x
    x = 119,846,844.72/12,523.57
  6. Step 6: Final answer
    x = 9,569.70

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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.