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Finding the Fourth Proportional to 22,842.88, 34,264.32 and 6,204.48

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Solution

The fourth proportional to 22,842.88, 34,264.32 and 6,204.48 is: 9,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.88 : 34,264.32 = 6,204.48 : x
  2. Step 2: Convert to fraction form
    22,842.88/34,264.32 = 6,204.48/x
  3. Step 3: Cross multiply
    22,842.88x = 34,264.32 × 6,204.48
  4. Step 4: Simplify right side
    22,842.88x = 212,592,288.15
  5. Step 5: Solve for x
    x = 212,592,288.15/22,842.88
  6. Step 6: Final answer
    x = 9,306.72

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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.