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Finding the Fourth Proportional to 14,806.85, 22,198.73 and 7,407.50

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Solution

The fourth proportional to 14,806.85, 22,198.73 and 7,407.50 is: 11,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.85 : 22,198.73 = 7,407.50 : x
  2. Step 2: Convert to fraction form
    14,806.85/22,198.73 = 7,407.50/x
  3. Step 3: Cross multiply
    14,806.85x = 22,198.73 × 7,407.50
  4. Step 4: Simplify right side
    14,806.85x = 164,436,944.44
  5. Step 5: Solve for x
    x = 164,436,944.44/14,806.85
  6. Step 6: Final answer
    x = 11,105.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.