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Finding the Fourth Proportional to 12,149.76, 16,766.70 and 6,844.64

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Solution

The fourth proportional to 12,149.76, 16,766.70 and 6,844.64 is: 9,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.76 : 16,766.70 = 6,844.64 : x
  2. Step 2: Convert to fraction form
    12,149.76/16,766.70 = 6,844.64/x
  3. Step 3: Cross multiply
    12,149.76x = 16,766.70 × 6,844.64
  4. Step 4: Simplify right side
    12,149.76x = 114,762,025.49
  5. Step 5: Solve for x
    x = 114,762,025.49/12,149.76
  6. Step 6: Final answer
    x = 9,445.62

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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.