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Finding the Fourth Proportional to 14,389, 19,857.63 and 8,101.78

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Solution

The fourth proportional to 14,389, 19,857.63 and 8,101.78 is: 11,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389 : 19,857.63 = 8,101.78 : x
  2. Step 2: Convert to fraction form
    14,389/19,857.63 = 8,101.78/x
  3. Step 3: Cross multiply
    14,389x = 19,857.63 × 8,101.78
  4. Step 4: Simplify right side
    14,389x = 160,882,149.58
  5. Step 5: Solve for x
    x = 160,882,149.58/14,389
  6. Step 6: Final answer
    x = 11,180.91

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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.