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Finding the Fourth Proportional to 12,138.75, 16,751.39 and 6,833.48

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Solution

The fourth proportional to 12,138.75, 16,751.39 and 6,833.48 is: 9,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.75 : 16,751.39 = 6,833.48 : x
  2. Step 2: Convert to fraction form
    12,138.75/16,751.39 = 6,833.48/x
  3. Step 3: Cross multiply
    12,138.75x = 16,751.39 × 6,833.48
  4. Step 4: Simplify right side
    12,138.75x = 114,470,170.61
  5. Step 5: Solve for x
    x = 114,470,170.61/12,138.75
  6. Step 6: Final answer
    x = 9,430.14

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1.5x scale

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.