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Finding the Fourth Proportional to 12,492, 17,238.96 and 7,524.96

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Solution

The fourth proportional to 12,492, 17,238.96 and 7,524.96 is: 10,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492 : 17,238.96 = 7,524.96 : x
  2. Step 2: Convert to fraction form
    12,492/17,238.96 = 7,524.96/x
  3. Step 3: Cross multiply
    12,492x = 17,238.96 × 7,524.96
  4. Step 4: Simplify right side
    12,492x = 129,722,484.44
  5. Step 5: Solve for x
    x = 129,722,484.44/12,492
  6. Step 6: Final answer
    x = 10,384.44

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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.