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Finding the Fourth Proportional to 12,433.70, 17,141.63 and 8,447.90

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Solution

The fourth proportional to 12,433.70, 17,141.63 and 8,447.90 is: 11,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.70 : 17,141.63 = 8,447.90 : x
  2. Step 2: Convert to fraction form
    12,433.70/17,141.63 = 8,447.90/x
  3. Step 3: Cross multiply
    12,433.70x = 17,141.63 × 8,447.90
  4. Step 4: Simplify right side
    12,433.70x = 144,810,648.13
  5. Step 5: Solve for x
    x = 144,810,648.13/12,433.70
  6. Step 6: Final answer
    x = 11,646.62

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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.