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Finding the Fourth Proportional to 6,150, 8,487 and 3,666

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Solution

The fourth proportional to 6,150, 8,487 and 3,666 is: 5,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150 : 8,487 = 3,666 : x
  2. Step 2: Convert to fraction form
    6,150/8,487 = 3,666/x
  3. Step 3: Cross multiply
    6,150x = 8,487 × 3,666
  4. Step 4: Simplify right side
    6,150x = 31,113,342
  5. Step 5: Solve for x
    x = 31,113,342/6,150
  6. Step 6: Final answer
    x = 5,059.08

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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.