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Finding the Fourth Proportional to 12,523.50, 17,282.97 and 6,934.50

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Solution

The fourth proportional to 12,523.50, 17,282.97 and 6,934.50 is: 9,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.50 : 17,282.97 = 6,934.50 : x
  2. Step 2: Convert to fraction form
    12,523.50/17,282.97 = 6,934.50/x
  3. Step 3: Cross multiply
    12,523.50x = 17,282.97 × 6,934.50
  4. Step 4: Simplify right side
    12,523.50x = 119,848,755.47
  5. Step 5: Solve for x
    x = 119,848,755.47/12,523.50
  6. Step 6: Final answer
    x = 9,569.91

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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.