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Finding the Fourth Proportional to 14,198.50, 19,593.93 and 7,910.74

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Solution

The fourth proportional to 14,198.50, 19,593.93 and 7,910.74 is: 10,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.50 : 19,593.93 = 7,910.74 : x
  2. Step 2: Convert to fraction form
    14,198.50/19,593.93 = 7,910.74/x
  3. Step 3: Cross multiply
    14,198.50x = 19,593.93 × 7,910.74
  4. Step 4: Simplify right side
    14,198.50x = 155,002,485.81
  5. Step 5: Solve for x
    x = 155,002,485.81/14,198.50
  6. Step 6: Final answer
    x = 10,916.82

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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.