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Finding the Fourth Proportional to 6,134, 8,465.64 and 3,650

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Solution

The fourth proportional to 6,134, 8,465.64 and 3,650 is: 5,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134 : 8,465.64 = 3,650 : x
  2. Step 2: Convert to fraction form
    6,134/8,465.64 = 3,650/x
  3. Step 3: Cross multiply
    6,134x = 8,465.64 × 3,650
  4. Step 4: Simplify right side
    6,134x = 30,899,586.00
  5. Step 5: Solve for x
    x = 30,899,586.00/6,134
  6. Step 6: Final answer
    x = 5,037.43

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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.