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Finding the Fourth Proportional to 6,513.22, 9,734.07 and 4,761.91

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Solution

The fourth proportional to 6,513.22, 9,734.07 and 4,761.91 is: 7,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.22 : 9,734.07 = 4,761.91 : x
  2. Step 2: Convert to fraction form
    6,513.22/9,734.07 = 4,761.91/x
  3. Step 3: Cross multiply
    6,513.22x = 9,734.07 × 4,761.91
  4. Step 4: Simplify right side
    6,513.22x = 46,352,777.18
  5. Step 5: Solve for x
    x = 46,352,777.18/6,513.22
  6. Step 6: Final answer
    x = 7,116.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.