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Finding the Fourth Proportional to 10,640.22, 14,686.83 and 6,394.38

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Solution

The fourth proportional to 10,640.22, 14,686.83 and 6,394.38 is: 8,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.22 : 14,686.83 = 6,394.38 : x
  2. Step 2: Convert to fraction form
    10,640.22/14,686.83 = 6,394.38/x
  3. Step 3: Cross multiply
    10,640.22x = 14,686.83 × 6,394.38
  4. Step 4: Simplify right side
    10,640.22x = 93,913,172.02
  5. Step 5: Solve for x
    x = 93,913,172.02/10,640.22
  6. Step 6: Final answer
    x = 8,826.24

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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.