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Finding the Fourth Proportional to 6,073, 8,382.24 and 3,717.14

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Solution

The fourth proportional to 6,073, 8,382.24 and 3,717.14 is: 5,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073 : 8,382.24 = 3,717.14 : x
  2. Step 2: Convert to fraction form
    6,073/8,382.24 = 3,717.14/x
  3. Step 3: Cross multiply
    6,073x = 8,382.24 × 3,717.14
  4. Step 4: Simplify right side
    6,073x = 31,157,959.59
  5. Step 5: Solve for x
    x = 31,157,959.59/6,073
  6. Step 6: Final answer
    x = 5,130.57

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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.