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Finding the Fourth Proportional to 6,751.92, 10,111.14 and 4,674

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Solution

The fourth proportional to 6,751.92, 10,111.14 and 4,674 is: 6,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.92 : 10,111.14 = 4,674 : x
  2. Step 2: Convert to fraction form
    6,751.92/10,111.14 = 4,674/x
  3. Step 3: Cross multiply
    6,751.92x = 10,111.14 × 4,674
  4. Step 4: Simplify right side
    6,751.92x = 47,259,468.36
  5. Step 5: Solve for x
    x = 47,259,468.36/6,751.92
  6. Step 6: Final answer
    x = 6,999.41

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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.