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Finding the Fourth Proportional to 12,524.46, 18,805.71 and 7,873.44

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Solution

The fourth proportional to 12,524.46, 18,805.71 and 7,873.44 is: 11,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.46 : 18,805.71 = 7,873.44 : x
  2. Step 2: Convert to fraction form
    12,524.46/18,805.71 = 7,873.44/x
  3. Step 3: Cross multiply
    12,524.46x = 18,805.71 × 7,873.44
  4. Step 4: Simplify right side
    12,524.46x = 148,065,629.34
  5. Step 5: Solve for x
    x = 148,065,629.34/12,524.46
  6. Step 6: Final answer
    x = 11,822.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.