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Finding the Fourth Proportional to 9,324.68, 12,823.95 and 7,413.79

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Solution

The fourth proportional to 9,324.68, 12,823.95 and 7,413.79 is: 10,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.68 : 12,823.95 = 7,413.79 : x
  2. Step 2: Convert to fraction form
    9,324.68/12,823.95 = 7,413.79/x
  3. Step 3: Cross multiply
    9,324.68x = 12,823.95 × 7,413.79
  4. Step 4: Simplify right side
    9,324.68x = 95,074,008.15
  5. Step 5: Solve for x
    x = 95,074,008.15/9,324.68
  6. Step 6: Final answer
    x = 10,195.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.