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Finding the Fourth Proportional to 6,876.68, 9,453.34 and 5,916.09

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Solution

The fourth proportional to 6,876.68, 9,453.34 and 5,916.09 is: 8,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.68 : 9,453.34 = 5,916.09 : x
  2. Step 2: Convert to fraction form
    6,876.68/9,453.34 = 5,916.09/x
  3. Step 3: Cross multiply
    6,876.68x = 9,453.34 × 5,916.09
  4. Step 4: Simplify right side
    6,876.68x = 55,926,780.66
  5. Step 5: Solve for x
    x = 55,926,780.66/6,876.68
  6. Step 6: Final answer
    x = 8,132.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.