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Finding the Fourth Proportional to 6,718.55, 9,271.94 and 3,734.44

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Solution

The fourth proportional to 6,718.55, 9,271.94 and 3,734.44 is: 5,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.55 : 9,271.94 = 3,734.44 : x
  2. Step 2: Convert to fraction form
    6,718.55/9,271.94 = 3,734.44/x
  3. Step 3: Cross multiply
    6,718.55x = 9,271.94 × 3,734.44
  4. Step 4: Simplify right side
    6,718.55x = 34,625,461.76
  5. Step 5: Solve for x
    x = 34,625,461.76/6,718.55
  6. Step 6: Final answer
    x = 5,153.71

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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.