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Finding the Fourth Proportional to 6,543.77, 9,806.13 and 3,034.85

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Solution

The fourth proportional to 6,543.77, 9,806.13 and 3,034.85 is: 4,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.77 : 9,806.13 = 3,034.85 : x
  2. Step 2: Convert to fraction form
    6,543.77/9,806.13 = 3,034.85/x
  3. Step 3: Cross multiply
    6,543.77x = 9,806.13 × 3,034.85
  4. Step 4: Simplify right side
    6,543.77x = 29,760,084.60
  5. Step 5: Solve for x
    x = 29,760,084.60/6,543.77
  6. Step 6: Final answer
    x = 4,547.85

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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.