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Finding the Fourth Proportional to 6,559.89, 9,836.19 and 2,659.74

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Solution

The fourth proportional to 6,559.89, 9,836.19 and 2,659.74 is: 3,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.89 : 9,836.19 = 2,659.74 : x
  2. Step 2: Convert to fraction form
    6,559.89/9,836.19 = 2,659.74/x
  3. Step 3: Cross multiply
    6,559.89x = 9,836.19 × 2,659.74
  4. Step 4: Simplify right side
    6,559.89x = 26,161,707.99
  5. Step 5: Solve for x
    x = 26,161,707.99/6,559.89
  6. Step 6: Final answer
    x = 3,988.13

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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.