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Finding the Fourth Proportional to 12,767.67, 19,134.86 and 6,522.42

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Solution

The fourth proportional to 12,767.67, 19,134.86 and 6,522.42 is: 9,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.67 : 19,134.86 = 6,522.42 : x
  2. Step 2: Convert to fraction form
    12,767.67/19,134.86 = 6,522.42/x
  3. Step 3: Cross multiply
    12,767.67x = 19,134.86 × 6,522.42
  4. Step 4: Simplify right side
    12,767.67x = 124,805,593.56
  5. Step 5: Solve for x
    x = 124,805,593.56/12,767.67
  6. Step 6: Final answer
    x = 9,775.13

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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.