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Finding the Fourth Proportional to 6,761.16, 10,083.92 and 6,526.02

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Solution

The fourth proportional to 6,761.16, 10,083.92 and 6,526.02 is: 9,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.16 : 10,083.92 = 6,526.02 : x
  2. Step 2: Convert to fraction form
    6,761.16/10,083.92 = 6,526.02/x
  3. Step 3: Cross multiply
    6,761.16x = 10,083.92 × 6,526.02
  4. Step 4: Simplify right side
    6,761.16x = 65,807,830.97
  5. Step 5: Solve for x
    x = 65,807,830.97/6,761.16
  6. Step 6: Final answer
    x = 9,733.22

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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.