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Finding the Fourth Proportional to 6,718.78, 9,271.92 and 3,734.50

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Solution

The fourth proportional to 6,718.78, 9,271.92 and 3,734.50 is: 5,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.78 : 9,271.92 = 3,734.50 : x
  2. Step 2: Convert to fraction form
    6,718.78/9,271.92 = 3,734.50/x
  3. Step 3: Cross multiply
    6,718.78x = 9,271.92 × 3,734.50
  4. Step 4: Simplify right side
    6,718.78x = 34,625,985.24
  5. Step 5: Solve for x
    x = 34,625,985.24/6,718.78
  6. Step 6: Final answer
    x = 5,153.61

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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.