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Finding the Fourth Proportional to 22,770.52, 34,134.95 and 7,971.35

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Solution

The fourth proportional to 22,770.52, 34,134.95 and 7,971.35 is: 11,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.52 : 34,134.95 = 7,971.35 : x
  2. Step 2: Convert to fraction form
    22,770.52/34,134.95 = 7,971.35/x
  3. Step 3: Cross multiply
    22,770.52x = 34,134.95 × 7,971.35
  4. Step 4: Simplify right side
    22,770.52x = 272,101,482.94
  5. Step 5: Solve for x
    x = 272,101,482.94/22,770.52
  6. Step 6: Final answer
    x = 11,949.73

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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.