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Finding the Fourth Proportional to 14,151.98, 19,538.26 and 9,375.97

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Solution

The fourth proportional to 14,151.98, 19,538.26 and 9,375.97 is: 12,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.98 : 19,538.26 = 9,375.97 : x
  2. Step 2: Convert to fraction form
    14,151.98/19,538.26 = 9,375.97/x
  3. Step 3: Cross multiply
    14,151.98x = 19,538.26 × 9,375.97
  4. Step 4: Simplify right side
    14,151.98x = 183,190,074.27
  5. Step 5: Solve for x
    x = 183,190,074.27/14,151.98
  6. Step 6: Final answer
    x = 12,944.49

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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.