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Finding the Fourth Proportional to 7,770.76, 10,723.52 and 4,233.96

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Solution

The fourth proportional to 7,770.76, 10,723.52 and 4,233.96 is: 5,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.76 : 10,723.52 = 4,233.96 : x
  2. Step 2: Convert to fraction form
    7,770.76/10,723.52 = 4,233.96/x
  3. Step 3: Cross multiply
    7,770.76x = 10,723.52 × 4,233.96
  4. Step 4: Simplify right side
    7,770.76x = 45,402,954.74
  5. Step 5: Solve for x
    x = 45,402,954.74/7,770.76
  6. Step 6: Final answer
    x = 5,842.79

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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.