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Finding the Fourth Proportional to 6,218.50, 9,327.84 and 1,601.50

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Solution

The fourth proportional to 6,218.50, 9,327.84 and 1,601.50 is: 2,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.50 : 9,327.84 = 1,601.50 : x
  2. Step 2: Convert to fraction form
    6,218.50/9,327.84 = 1,601.50/x
  3. Step 3: Cross multiply
    6,218.50x = 9,327.84 × 1,601.50
  4. Step 4: Simplify right side
    6,218.50x = 14,938,535.76
  5. Step 5: Solve for x
    x = 14,938,535.76/6,218.50
  6. Step 6: Final answer
    x = 2,402.27

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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.