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Finding the Fourth Proportional to 8,294.92, 12,437.78 and 3,292.22

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Solution

The fourth proportional to 8,294.92, 12,437.78 and 3,292.22 is: 4,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.92 : 12,437.78 = 3,292.22 : x
  2. Step 2: Convert to fraction form
    8,294.92/12,437.78 = 3,292.22/x
  3. Step 3: Cross multiply
    8,294.92x = 12,437.78 × 3,292.22
  4. Step 4: Simplify right side
    8,294.92x = 40,947,908.07
  5. Step 5: Solve for x
    x = 40,947,908.07/8,294.92
  6. Step 6: Final answer
    x = 4,936.50

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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.