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Finding the Fourth Proportional to 22,983.25, 34,473.75 and 7,188.15

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Solution

The fourth proportional to 22,983.25, 34,473.75 and 7,188.15 is: 10,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.25 : 34,473.75 = 7,188.15 : x
  2. Step 2: Convert to fraction form
    22,983.25/34,473.75 = 7,188.15/x
  3. Step 3: Cross multiply
    22,983.25x = 34,473.75 × 7,188.15
  4. Step 4: Simplify right side
    22,983.25x = 247,802,486.06
  5. Step 5: Solve for x
    x = 247,802,486.06/22,983.25
  6. Step 6: Final answer
    x = 10,781.87

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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.