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Finding the Fourth Proportional to 6,670.86, 10,002.42 and 2,287.14

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Solution

The fourth proportional to 6,670.86, 10,002.42 and 2,287.14 is: 3,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.86 : 10,002.42 = 2,287.14 : x
  2. Step 2: Convert to fraction form
    6,670.86/10,002.42 = 2,287.14/x
  3. Step 3: Cross multiply
    6,670.86x = 10,002.42 × 2,287.14
  4. Step 4: Simplify right side
    6,670.86x = 22,876,934.88
  5. Step 5: Solve for x
    x = 22,876,934.88/6,670.86
  6. Step 6: Final answer
    x = 3,429.38

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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.