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Finding the Fourth Proportional to 22,507.78, 33,763.31 and 7,716.57

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Solution

The fourth proportional to 22,507.78, 33,763.31 and 7,716.57 is: 11,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.78 : 33,763.31 = 7,716.57 : x
  2. Step 2: Convert to fraction form
    22,507.78/33,763.31 = 7,716.57/x
  3. Step 3: Cross multiply
    22,507.78x = 33,763.31 × 7,716.57
  4. Step 4: Simplify right side
    22,507.78x = 260,536,964.34
  5. Step 5: Solve for x
    x = 260,536,964.34/22,507.78
  6. Step 6: Final answer
    x = 11,575.42

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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.