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Finding the Fourth Proportional to 6,204, 9,306.54 and 1,587

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Solution

The fourth proportional to 6,204, 9,306.54 and 1,587 is: 2,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204 : 9,306.54 = 1,587 : x
  2. Step 2: Convert to fraction form
    6,204/9,306.54 = 1,587/x
  3. Step 3: Cross multiply
    6,204x = 9,306.54 × 1,587
  4. Step 4: Simplify right side
    6,204x = 14,769,478.98
  5. Step 5: Solve for x
    x = 14,769,478.98/6,204
  6. Step 6: Final answer
    x = 2,380.64

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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.