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Finding the Fourth Proportional to 14,069.00, 19,414.59 and 8,099.41

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Solution

The fourth proportional to 14,069.00, 19,414.59 and 8,099.41 is: 11,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.00 : 19,414.59 = 8,099.41 : x
  2. Step 2: Convert to fraction form
    14,069.00/19,414.59 = 8,099.41/x
  3. Step 3: Cross multiply
    14,069.00x = 19,414.59 × 8,099.41
  4. Step 4: Simplify right side
    14,069.00x = 157,246,675.86
  5. Step 5: Solve for x
    x = 157,246,675.86/14,069.00
  6. Step 6: Final answer
    x = 11,176.82

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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.