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Finding the Fourth Proportional to 6,278.57, 9,411.27 and 2,117.14

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Solution

The fourth proportional to 6,278.57, 9,411.27 and 2,117.14 is: 3,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.57 : 9,411.27 = 2,117.14 : x
  2. Step 2: Convert to fraction form
    6,278.57/9,411.27 = 2,117.14/x
  3. Step 3: Cross multiply
    6,278.57x = 9,411.27 × 2,117.14
  4. Step 4: Simplify right side
    6,278.57x = 19,924,976.17
  5. Step 5: Solve for x
    x = 19,924,976.17/6,278.57
  6. Step 6: Final answer
    x = 3,173.49

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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.