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Finding the Fourth Proportional to 12,881.90, 17,778.81 and 8,166.62

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Solution

The fourth proportional to 12,881.90, 17,778.81 and 8,166.62 is: 11,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.90 : 17,778.81 = 8,166.62 : x
  2. Step 2: Convert to fraction form
    12,881.90/17,778.81 = 8,166.62/x
  3. Step 3: Cross multiply
    12,881.90x = 17,778.81 × 8,166.62
  4. Step 4: Simplify right side
    12,881.90x = 145,192,785.32
  5. Step 5: Solve for x
    x = 145,192,785.32/12,881.90
  6. Step 6: Final answer
    x = 11,271.07

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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.