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Finding the Fourth Proportional to 6,681.80, 10,019.87 and 2,002.47

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Solution

The fourth proportional to 6,681.80, 10,019.87 and 2,002.47 is: 3,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.80 : 10,019.87 = 2,002.47 : x
  2. Step 2: Convert to fraction form
    6,681.80/10,019.87 = 2,002.47/x
  3. Step 3: Cross multiply
    6,681.80x = 10,019.87 × 2,002.47
  4. Step 4: Simplify right side
    6,681.80x = 20,064,519.13
  5. Step 5: Solve for x
    x = 20,064,519.13/6,681.80
  6. Step 6: Final answer
    x = 3,002.86

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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.