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Finding the Fourth Proportional to 22,770.33, 34,160.55 and 6,977.55

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Solution

The fourth proportional to 22,770.33, 34,160.55 and 6,977.55 is: 10,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.33 : 34,160.55 = 6,977.55 : x
  2. Step 2: Convert to fraction form
    22,770.33/34,160.55 = 6,977.55/x
  3. Step 3: Cross multiply
    22,770.33x = 34,160.55 × 6,977.55
  4. Step 4: Simplify right side
    22,770.33x = 238,356,945.65
  5. Step 5: Solve for x
    x = 238,356,945.65/22,770.33
  6. Step 6: Final answer
    x = 10,467.87

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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.