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Finding the Fourth Proportional to 6,397.49, 8,826.20 and 3,877.79

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Solution

The fourth proportional to 6,397.49, 8,826.20 and 3,877.79 is: 5,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.49 : 8,826.20 = 3,877.79 : x
  2. Step 2: Convert to fraction form
    6,397.49/8,826.20 = 3,877.79/x
  3. Step 3: Cross multiply
    6,397.49x = 8,826.20 × 3,877.79
  4. Step 4: Simplify right side
    6,397.49x = 34,226,150.10
  5. Step 5: Solve for x
    x = 34,226,150.10/6,397.49
  6. Step 6: Final answer
    x = 5,349.93

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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.