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Finding the Fourth Proportional to 6,036, 8,334 and 4,169.76

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Solution

The fourth proportional to 6,036, 8,334 and 4,169.76 is: 5,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036 : 8,334 = 4,169.76 : x
  2. Step 2: Convert to fraction form
    6,036/8,334 = 4,169.76/x
  3. Step 3: Cross multiply
    6,036x = 8,334 × 4,169.76
  4. Step 4: Simplify right side
    6,036x = 34,750,779.84
  5. Step 5: Solve for x
    x = 34,750,779.84/6,036
  6. Step 6: Final answer
    x = 5,757.25

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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.