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Finding the Fourth Proportional to 6,065, 8,371.20 and 3,709.14

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Solution

The fourth proportional to 6,065, 8,371.20 and 3,709.14 is: 5,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065 : 8,371.20 = 3,709.14 : x
  2. Step 2: Convert to fraction form
    6,065/8,371.20 = 3,709.14/x
  3. Step 3: Cross multiply
    6,065x = 8,371.20 × 3,709.14
  4. Step 4: Simplify right side
    6,065x = 31,049,952.77
  5. Step 5: Solve for x
    x = 31,049,952.77/6,065
  6. Step 6: Final answer
    x = 5,119.53

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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.