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Finding the Fourth Proportional to 6,286.04, 8,664.78 and 5,023.10

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Solution

The fourth proportional to 6,286.04, 8,664.78 and 5,023.10 is: 6,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.04 : 8,664.78 = 5,023.10 : x
  2. Step 2: Convert to fraction form
    6,286.04/8,664.78 = 5,023.10/x
  3. Step 3: Cross multiply
    6,286.04x = 8,664.78 × 5,023.10
  4. Step 4: Simplify right side
    6,286.04x = 43,524,056.42
  5. Step 5: Solve for x
    x = 43,524,056.42/6,286.04
  6. Step 6: Final answer
    x = 6,923.92

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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.