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Finding the Fourth Proportional to 15,209.19, 22,821.08 and 7,413.75

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Solution

The fourth proportional to 15,209.19, 22,821.08 and 7,413.75 is: 11,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.19 : 22,821.08 = 7,413.75 : x
  2. Step 2: Convert to fraction form
    15,209.19/22,821.08 = 7,413.75/x
  3. Step 3: Cross multiply
    15,209.19x = 22,821.08 × 7,413.75
  4. Step 4: Simplify right side
    15,209.19x = 169,189,744.78
  5. Step 5: Solve for x
    x = 169,189,744.78/15,209.19
  6. Step 6: Final answer
    x = 11,124.18

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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.