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Finding the Fourth Proportional to 4,068, 6,102 and 1,332

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Solution

The fourth proportional to 4,068, 6,102 and 1,332 is: 1,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068 : 6,102 = 1,332 : x
  2. Step 2: Convert to fraction form
    4,068/6,102 = 1,332/x
  3. Step 3: Cross multiply
    4,068x = 6,102 × 1,332
  4. Step 4: Simplify right side
    4,068x = 8,127,864
  5. Step 5: Solve for x
    x = 8,127,864/4,068
  6. Step 6: Final answer
    x = 1,998

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.