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Finding the Fourth Proportional to 14,064.93, 19,414.50 and 8,098.98

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Solution

The fourth proportional to 14,064.93, 19,414.50 and 8,098.98 is: 11,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.93 : 19,414.50 = 8,098.98 : x
  2. Step 2: Convert to fraction form
    14,064.93/19,414.50 = 8,098.98/x
  3. Step 3: Cross multiply
    14,064.93x = 19,414.50 × 8,098.98
  4. Step 4: Simplify right side
    14,064.93x = 157,237,616.84
  5. Step 5: Solve for x
    x = 157,237,616.84/14,064.93
  6. Step 6: Final answer
    x = 11,179.41

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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.