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Finding the Fourth Proportional to 6,314.60, 8,717.27 and 4,895.07

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Solution

The fourth proportional to 6,314.60, 8,717.27 and 4,895.07 is: 6,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.60 : 8,717.27 = 4,895.07 : x
  2. Step 2: Convert to fraction form
    6,314.60/8,717.27 = 4,895.07/x
  3. Step 3: Cross multiply
    6,314.60x = 8,717.27 × 4,895.07
  4. Step 4: Simplify right side
    6,314.60x = 42,671,622.38
  5. Step 5: Solve for x
    x = 42,671,622.38/6,314.60
  6. Step 6: Final answer
    x = 6,757.62

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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.