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Finding the Fourth Proportional to 22,866.84, 34,304.34 and 8,084.34

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Solution

The fourth proportional to 22,866.84, 34,304.34 and 8,084.34 is: 12,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.84 : 34,304.34 = 8,084.34 : x
  2. Step 2: Convert to fraction form
    22,866.84/34,304.34 = 8,084.34/x
  3. Step 3: Cross multiply
    22,866.84x = 34,304.34 × 8,084.34
  4. Step 4: Simplify right side
    22,866.84x = 277,327,948.04
  5. Step 5: Solve for x
    x = 277,327,948.04/22,866.84
  6. Step 6: Final answer
    x = 12,127.95

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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.