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Finding the Fourth Proportional to 6,138.96, 8,471.88 and 3,656.40

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Solution

The fourth proportional to 6,138.96, 8,471.88 and 3,656.40 is: 5,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.96 : 8,471.88 = 3,656.40 : x
  2. Step 2: Convert to fraction form
    6,138.96/8,471.88 = 3,656.40/x
  3. Step 3: Cross multiply
    6,138.96x = 8,471.88 × 3,656.40
  4. Step 4: Simplify right side
    6,138.96x = 30,976,582.03
  5. Step 5: Solve for x
    x = 30,976,582.03/6,138.96
  6. Step 6: Final answer
    x = 5,045.90

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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.