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Finding the Fourth Proportional to 22,983.52, 34,478.48 and 8,188.04

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Solution

The fourth proportional to 22,983.52, 34,478.48 and 8,188.04 is: 12,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.52 : 34,478.48 = 8,188.04 : x
  2. Step 2: Convert to fraction form
    22,983.52/34,478.48 = 8,188.04/x
  3. Step 3: Cross multiply
    22,983.52x = 34,478.48 × 8,188.04
  4. Step 4: Simplify right side
    22,983.52x = 282,311,173.38
  5. Step 5: Solve for x
    x = 282,311,173.38/22,983.52
  6. Step 6: Final answer
    x = 12,283.20

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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.