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Finding the Fourth Proportional to 6,281.96, 9,421.02 and 2,177

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Solution

The fourth proportional to 6,281.96, 9,421.02 and 2,177 is: 3,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.96 : 9,421.02 = 2,177 : x
  2. Step 2: Convert to fraction form
    6,281.96/9,421.02 = 2,177/x
  3. Step 3: Cross multiply
    6,281.96x = 9,421.02 × 2,177
  4. Step 4: Simplify right side
    6,281.96x = 20,509,560.54
  5. Step 5: Solve for x
    x = 20,509,560.54/6,281.96
  6. Step 6: Final answer
    x = 3,264.83

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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.