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Finding the Fourth Proportional to 6,873.59, 10,297.11 and 4,102.47

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Solution

The fourth proportional to 6,873.59, 10,297.11 and 4,102.47 is: 6,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.59 : 10,297.11 = 4,102.47 : x
  2. Step 2: Convert to fraction form
    6,873.59/10,297.11 = 4,102.47/x
  3. Step 3: Cross multiply
    6,873.59x = 10,297.11 × 4,102.47
  4. Step 4: Simplify right side
    6,873.59x = 42,243,584.86
  5. Step 5: Solve for x
    x = 42,243,584.86/6,873.59
  6. Step 6: Final answer
    x = 6,145.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.