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Finding the Fourth Proportional to 6,559.74, 9,837.33 and 1,878.48

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Solution

The fourth proportional to 6,559.74, 9,837.33 and 1,878.48 is: 2,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.74 : 9,837.33 = 1,878.48 : x
  2. Step 2: Convert to fraction form
    6,559.74/9,837.33 = 1,878.48/x
  3. Step 3: Cross multiply
    6,559.74x = 9,837.33 × 1,878.48
  4. Step 4: Simplify right side
    6,559.74x = 18,479,227.66
  5. Step 5: Solve for x
    x = 18,479,227.66/6,559.74
  6. Step 6: Final answer
    x = 2,817.07

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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.