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Finding the Fourth Proportional to 10,321.39, 14,246.73 and 6,595.39

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Solution

The fourth proportional to 10,321.39, 14,246.73 and 6,595.39 is: 9,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.39 : 14,246.73 = 6,595.39 : x
  2. Step 2: Convert to fraction form
    10,321.39/14,246.73 = 6,595.39/x
  3. Step 3: Cross multiply
    10,321.39x = 14,246.73 × 6,595.39
  4. Step 4: Simplify right side
    10,321.39x = 93,962,740.57
  5. Step 5: Solve for x
    x = 93,962,740.57/10,321.39
  6. Step 6: Final answer
    x = 9,103.69

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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.