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Finding the Fourth Proportional to 22,942.28, 34,413.76 and 8,903.10

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Solution

The fourth proportional to 22,942.28, 34,413.76 and 8,903.10 is: 13,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.28 : 34,413.76 = 8,903.10 : x
  2. Step 2: Convert to fraction form
    22,942.28/34,413.76 = 8,903.10/x
  3. Step 3: Cross multiply
    22,942.28x = 34,413.76 × 8,903.10
  4. Step 4: Simplify right side
    22,942.28x = 306,389,146.66
  5. Step 5: Solve for x
    x = 306,389,146.66/22,942.28
  6. Step 6: Final answer
    x = 13,354.78

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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.