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Finding the Fourth Proportional to 6,667.84, 10,002.66 and 2,284.12

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Solution

The fourth proportional to 6,667.84, 10,002.66 and 2,284.12 is: 3,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.84 : 10,002.66 = 2,284.12 : x
  2. Step 2: Convert to fraction form
    6,667.84/10,002.66 = 2,284.12/x
  3. Step 3: Cross multiply
    6,667.84x = 10,002.66 × 2,284.12
  4. Step 4: Simplify right side
    6,667.84x = 22,847,275.76
  5. Step 5: Solve for x
    x = 22,847,275.76/6,667.84
  6. Step 6: Final answer
    x = 3,426.49

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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.