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Finding the Fourth Proportional to 6,252.50, 9,378.75 and 2,556.74

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Solution

The fourth proportional to 6,252.50, 9,378.75 and 2,556.74 is: 3,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.50 : 9,378.75 = 2,556.74 : x
  2. Step 2: Convert to fraction form
    6,252.50/9,378.75 = 2,556.74/x
  3. Step 3: Cross multiply
    6,252.50x = 9,378.75 × 2,556.74
  4. Step 4: Simplify right side
    6,252.50x = 23,979,025.28
  5. Step 5: Solve for x
    x = 23,979,025.28/6,252.50
  6. Step 6: Final answer
    x = 3,835.11

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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.