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Finding the Fourth Proportional to 6,273.50, 8,657.74 and 3,479

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Solution

The fourth proportional to 6,273.50, 8,657.74 and 3,479 is: 4,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.50 : 8,657.74 = 3,479 : x
  2. Step 2: Convert to fraction form
    6,273.50/8,657.74 = 3,479/x
  3. Step 3: Cross multiply
    6,273.50x = 8,657.74 × 3,479
  4. Step 4: Simplify right side
    6,273.50x = 30,120,277.46
  5. Step 5: Solve for x
    x = 30,120,277.46/6,273.50
  6. Step 6: Final answer
    x = 4,801.19

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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.