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Finding the Fourth Proportional to 7,722.24, 11,509.08 and 7,657.92

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Solution

The fourth proportional to 7,722.24, 11,509.08 and 7,657.92 is: 11,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.24 : 11,509.08 = 7,657.92 : x
  2. Step 2: Convert to fraction form
    7,722.24/11,509.08 = 7,657.92/x
  3. Step 3: Cross multiply
    7,722.24x = 11,509.08 × 7,657.92
  4. Step 4: Simplify right side
    7,722.24x = 88,135,613.91
  5. Step 5: Solve for x
    x = 88,135,613.91/7,722.24
  6. Step 6: Final answer
    x = 11,413.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.