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Finding the Fourth Proportional to 6,460.34, 8,911.14 and 4,068

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Solution

The fourth proportional to 6,460.34, 8,911.14 and 4,068 is: 5,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.34 : 8,911.14 = 4,068 : x
  2. Step 2: Convert to fraction form
    6,460.34/8,911.14 = 4,068/x
  3. Step 3: Cross multiply
    6,460.34x = 8,911.14 × 4,068
  4. Step 4: Simplify right side
    6,460.34x = 36,250,517.52
  5. Step 5: Solve for x
    x = 36,250,517.52/6,460.34
  6. Step 6: Final answer
    x = 5,611.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.