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Finding the Fourth Proportional to 6,751.50, 10,131.75 and 2,594.94

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Solution

The fourth proportional to 6,751.50, 10,131.75 and 2,594.94 is: 3,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 10,131.75 = 2,594.94 : x
  2. Step 2: Convert to fraction form
    6,751.50/10,131.75 = 2,594.94/x
  3. Step 3: Cross multiply
    6,751.50x = 10,131.75 × 2,594.94
  4. Step 4: Simplify right side
    6,751.50x = 26,291,283.35
  5. Step 5: Solve for x
    x = 26,291,283.35/6,751.50
  6. Step 6: Final answer
    x = 3,894.14

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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.