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Finding the Fourth Proportional to 6,377.68, 8,799.40 and 4,139.64

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Solution

The fourth proportional to 6,377.68, 8,799.40 and 4,139.64 is: 5,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.68 : 8,799.40 = 4,139.64 : x
  2. Step 2: Convert to fraction form
    6,377.68/8,799.40 = 4,139.64/x
  3. Step 3: Cross multiply
    6,377.68x = 8,799.40 × 4,139.64
  4. Step 4: Simplify right side
    6,377.68x = 36,426,348.22
  5. Step 5: Solve for x
    x = 36,426,348.22/6,377.68
  6. Step 6: Final answer
    x = 5,711.54

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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.