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Finding the Fourth Proportional to 22,506.84, 33,761.70 and 8,655.84

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Solution

The fourth proportional to 22,506.84, 33,761.70 and 8,655.84 is: 12,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.84 : 33,761.70 = 8,655.84 : x
  2. Step 2: Convert to fraction form
    22,506.84/33,761.70 = 8,655.84/x
  3. Step 3: Cross multiply
    22,506.84x = 33,761.70 × 8,655.84
  4. Step 4: Simplify right side
    22,506.84x = 292,235,873.33
  5. Step 5: Solve for x
    x = 292,235,873.33/22,506.84
  6. Step 6: Final answer
    x = 12,984.31

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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.