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Finding the Fourth Proportional to 13,961.71, 19,264.21 and 8,294.44

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Solution

The fourth proportional to 13,961.71, 19,264.21 and 8,294.44 is: 11,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.71 : 19,264.21 = 8,294.44 : x
  2. Step 2: Convert to fraction form
    13,961.71/19,264.21 = 8,294.44/x
  3. Step 3: Cross multiply
    13,961.71x = 19,264.21 × 8,294.44
  4. Step 4: Simplify right side
    13,961.71x = 159,785,833.99
  5. Step 5: Solve for x
    x = 159,785,833.99/13,961.71
  6. Step 6: Final answer
    x = 11,444.57

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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.