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Finding the Fourth Proportional to 6,066, 8,371.17 and 3,707.64

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Solution

The fourth proportional to 6,066, 8,371.17 and 3,707.64 is: 5,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066 : 8,371.17 = 3,707.64 : x
  2. Step 2: Convert to fraction form
    6,066/8,371.17 = 3,707.64/x
  3. Step 3: Cross multiply
    6,066x = 8,371.17 × 3,707.64
  4. Step 4: Simplify right side
    6,066x = 31,037,284.74
  5. Step 5: Solve for x
    x = 31,037,284.74/6,066
  6. Step 6: Final answer
    x = 5,116.60

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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.