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Finding the Fourth Proportional to 6,681.43, 10,023.76 and 2,001.43

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Solution

The fourth proportional to 6,681.43, 10,023.76 and 2,001.43 is: 3,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.43 : 10,023.76 = 2,001.43 : x
  2. Step 2: Convert to fraction form
    6,681.43/10,023.76 = 2,001.43/x
  3. Step 3: Cross multiply
    6,681.43x = 10,023.76 × 2,001.43
  4. Step 4: Simplify right side
    6,681.43x = 20,061,831.42
  5. Step 5: Solve for x
    x = 20,061,831.42/6,681.43
  6. Step 6: Final answer
    x = 3,002.63

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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.