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Finding the Fourth Proportional to 9,572.68, 14,375.42 and 5,198.68

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Solution

The fourth proportional to 9,572.68, 14,375.42 and 5,198.68 is: 7,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.68 : 14,375.42 = 5,198.68 : x
  2. Step 2: Convert to fraction form
    9,572.68/14,375.42 = 5,198.68/x
  3. Step 3: Cross multiply
    9,572.68x = 14,375.42 × 5,198.68
  4. Step 4: Simplify right side
    9,572.68x = 74,733,110.58
  5. Step 5: Solve for x
    x = 74,733,110.58/9,572.68
  6. Step 6: Final answer
    x = 7,806.92

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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.