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Finding the Fourth Proportional to 6,921.68, 10,384.16 and 2,241.68

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Solution

The fourth proportional to 6,921.68, 10,384.16 and 2,241.68 is: 3,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.68 : 10,384.16 = 2,241.68 : x
  2. Step 2: Convert to fraction form
    6,921.68/10,384.16 = 2,241.68/x
  3. Step 3: Cross multiply
    6,921.68x = 10,384.16 × 2,241.68
  4. Step 4: Simplify right side
    6,921.68x = 23,277,900.66
  5. Step 5: Solve for x
    x = 23,277,900.66/6,921.68
  6. Step 6: Final answer
    x = 3,363.04

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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.