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Finding the Fourth Proportional to 15,773.70, 21,766.94 and 9,400.15

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Solution

The fourth proportional to 15,773.70, 21,766.94 and 9,400.15 is: 12,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.70 : 21,766.94 = 9,400.15 : x
  2. Step 2: Convert to fraction form
    15,773.70/21,766.94 = 9,400.15/x
  3. Step 3: Cross multiply
    15,773.70x = 21,766.94 × 9,400.15
  4. Step 4: Simplify right side
    15,773.70x = 204,612,434.87
  5. Step 5: Solve for x
    x = 204,612,434.87/15,773.70
  6. Step 6: Final answer
    x = 12,971.75

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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.