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Finding the Fourth Proportional to 7,134.63, 9,839.74 and 4,301.38

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Solution

The fourth proportional to 7,134.63, 9,839.74 and 4,301.38 is: 5,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.63 : 9,839.74 = 4,301.38 : x
  2. Step 2: Convert to fraction form
    7,134.63/9,839.74 = 4,301.38/x
  3. Step 3: Cross multiply
    7,134.63x = 9,839.74 × 4,301.38
  4. Step 4: Simplify right side
    7,134.63x = 42,324,471.59
  5. Step 5: Solve for x
    x = 42,324,471.59/7,134.63
  6. Step 6: Final answer
    x = 5,932.26

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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.