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Finding the Fourth Proportional to 6,877.68, 9,491.22 and 3,894.09

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Solution

The fourth proportional to 6,877.68, 9,491.22 and 3,894.09 is: 5,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.68 : 9,491.22 = 3,894.09 : x
  2. Step 2: Convert to fraction form
    6,877.68/9,491.22 = 3,894.09/x
  3. Step 3: Cross multiply
    6,877.68x = 9,491.22 × 3,894.09
  4. Step 4: Simplify right side
    6,877.68x = 36,959,664.89
  5. Step 5: Solve for x
    x = 36,959,664.89/6,877.68
  6. Step 6: Final answer
    x = 5,373.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.