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Finding the Fourth Proportional to 6,703.89, 10,055.84 and 2,806.17

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Solution

The fourth proportional to 6,703.89, 10,055.84 and 2,806.17 is: 4,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.89 : 10,055.84 = 2,806.17 : x
  2. Step 2: Convert to fraction form
    6,703.89/10,055.84 = 2,806.17/x
  3. Step 3: Cross multiply
    6,703.89x = 10,055.84 × 2,806.17
  4. Step 4: Simplify right side
    6,703.89x = 28,218,382.50
  5. Step 5: Solve for x
    x = 28,218,382.50/6,703.89
  6. Step 6: Final answer
    x = 4,209.26

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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.