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Finding the Fourth Proportional to 22,577.68, 33,866.14 and 6,161.68

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Solution

The fourth proportional to 22,577.68, 33,866.14 and 6,161.68 is: 9,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.68 : 33,866.14 = 6,161.68 : x
  2. Step 2: Convert to fraction form
    22,577.68/33,866.14 = 6,161.68/x
  3. Step 3: Cross multiply
    22,577.68x = 33,866.14 × 6,161.68
  4. Step 4: Simplify right side
    22,577.68x = 208,672,317.52
  5. Step 5: Solve for x
    x = 208,672,317.52/22,577.68
  6. Step 6: Final answer
    x = 9,242.42

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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.