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Finding the Fourth Proportional to 22,787.74, 34,178.86 and 6,146.49

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Solution

The fourth proportional to 22,787.74, 34,178.86 and 6,146.49 is: 9,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.74 : 34,178.86 = 6,146.49 : x
  2. Step 2: Convert to fraction form
    22,787.74/34,178.86 = 6,146.49/x
  3. Step 3: Cross multiply
    22,787.74x = 34,178.86 × 6,146.49
  4. Step 4: Simplify right side
    22,787.74x = 210,080,021.20
  5. Step 5: Solve for x
    x = 210,080,021.20/22,787.74
  6. Step 6: Final answer
    x = 9,218.99

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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.