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Finding the Fourth Proportional to 12,298.38, 16,971.98 and 6,993.24

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Solution

The fourth proportional to 12,298.38, 16,971.98 and 6,993.24 is: 9,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.38 : 16,971.98 = 6,993.24 : x
  2. Step 2: Convert to fraction form
    12,298.38/16,971.98 = 6,993.24/x
  3. Step 3: Cross multiply
    12,298.38x = 16,971.98 × 6,993.24
  4. Step 4: Simplify right side
    12,298.38x = 118,689,070.14
  5. Step 5: Solve for x
    x = 118,689,070.14/12,298.38
  6. Step 6: Final answer
    x = 9,650.79

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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.