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Finding the Fourth Proportional to 7,770.26, 10,723.10 and 4,233.48

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Solution

The fourth proportional to 7,770.26, 10,723.10 and 4,233.48 is: 5,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.26 : 10,723.10 = 4,233.48 : x
  2. Step 2: Convert to fraction form
    7,770.26/10,723.10 = 4,233.48/x
  3. Step 3: Cross multiply
    7,770.26x = 10,723.10 × 4,233.48
  4. Step 4: Simplify right side
    7,770.26x = 45,396,029.39
  5. Step 5: Solve for x
    x = 45,396,029.39/7,770.26
  6. Step 6: Final answer
    x = 5,842.28

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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.