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Finding the Fourth Proportional to 12,246.38, 16,900.12 and 6,657.50

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Solution

The fourth proportional to 12,246.38, 16,900.12 and 6,657.50 is: 9,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.38 : 16,900.12 = 6,657.50 : x
  2. Step 2: Convert to fraction form
    12,246.38/16,900.12 = 6,657.50/x
  3. Step 3: Cross multiply
    12,246.38x = 16,900.12 × 6,657.50
  4. Step 4: Simplify right side
    12,246.38x = 112,512,447.76
  5. Step 5: Solve for x
    x = 112,512,447.76/12,246.38
  6. Step 6: Final answer
    x = 9,187.41

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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.