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Finding the Fourth Proportional to 6,894.97, 10,357.83 and 4,264.41

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Solution

The fourth proportional to 6,894.97, 10,357.83 and 4,264.41 is: 6,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.97 : 10,357.83 = 4,264.41 : x
  2. Step 2: Convert to fraction form
    6,894.97/10,357.83 = 4,264.41/x
  3. Step 3: Cross multiply
    6,894.97x = 10,357.83 × 4,264.41
  4. Step 4: Simplify right side
    6,894.97x = 44,170,084.67
  5. Step 5: Solve for x
    x = 44,170,084.67/6,894.97
  6. Step 6: Final answer
    x = 6,406.13

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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.