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Finding the Fourth Proportional to 7,277.14, 10,042.44 and 3,965.14

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Solution

The fourth proportional to 7,277.14, 10,042.44 and 3,965.14 is: 5,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.14 : 10,042.44 = 3,965.14 : x
  2. Step 2: Convert to fraction form
    7,277.14/10,042.44 = 3,965.14/x
  3. Step 3: Cross multiply
    7,277.14x = 10,042.44 × 3,965.14
  4. Step 4: Simplify right side
    7,277.14x = 39,819,680.54
  5. Step 5: Solve for x
    x = 39,819,680.54/7,277.14
  6. Step 6: Final answer
    x = 5,471.89

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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.