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Finding the Fourth Proportional to 22,645.86, 33,957.85 and 9,494.70

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Solution

The fourth proportional to 22,645.86, 33,957.85 and 9,494.70 is: 14,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.86 : 33,957.85 = 9,494.70 : x
  2. Step 2: Convert to fraction form
    22,645.86/33,957.85 = 9,494.70/x
  3. Step 3: Cross multiply
    22,645.86x = 33,957.85 × 9,494.70
  4. Step 4: Simplify right side
    22,645.86x = 322,419,598.40
  5. Step 5: Solve for x
    x = 322,419,598.40/22,645.86
  6. Step 6: Final answer
    x = 14,237.46

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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.