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Finding the Fourth Proportional to 7,769.48, 10,722.48 and 4,413.34

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Solution

The fourth proportional to 7,769.48, 10,722.48 and 4,413.34 is: 6,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.48 : 10,722.48 = 4,413.34 : x
  2. Step 2: Convert to fraction form
    7,769.48/10,722.48 = 4,413.34/x
  3. Step 3: Cross multiply
    7,769.48x = 10,722.48 × 4,413.34
  4. Step 4: Simplify right side
    7,769.48x = 47,321,874.20
  5. Step 5: Solve for x
    x = 47,321,874.20/7,769.48
  6. Step 6: Final answer
    x = 6,090.74

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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.