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Finding the Fourth Proportional to 7,572.22, 10,438.28 and 5,976.12

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Solution

The fourth proportional to 7,572.22, 10,438.28 and 5,976.12 is: 8,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.22 : 10,438.28 = 5,976.12 : x
  2. Step 2: Convert to fraction form
    7,572.22/10,438.28 = 5,976.12/x
  3. Step 3: Cross multiply
    7,572.22x = 10,438.28 × 5,976.12
  4. Step 4: Simplify right side
    7,572.22x = 62,380,413.87
  5. Step 5: Solve for x
    x = 62,380,413.87/7,572.22
  6. Step 6: Final answer
    x = 8,238.06

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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.