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Finding the Fourth Proportional to 6,166, 8,507 and 3,511.53

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Solution

The fourth proportional to 6,166, 8,507 and 3,511.53 is: 4,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 8,507 = 3,511.53 : x
  2. Step 2: Convert to fraction form
    6,166/8,507 = 3,511.53/x
  3. Step 3: Cross multiply
    6,166x = 8,507 × 3,511.53
  4. Step 4: Simplify right side
    6,166x = 29,872,585.71
  5. Step 5: Solve for x
    x = 29,872,585.71/6,166
  6. Step 6: Final answer
    x = 4,844.73

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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.