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Finding the Fourth Proportional to 14,315.22, 19,754.19 and 7,941.42

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Solution

The fourth proportional to 14,315.22, 19,754.19 and 7,941.42 is: 10,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.22 : 19,754.19 = 7,941.42 : x
  2. Step 2: Convert to fraction form
    14,315.22/19,754.19 = 7,941.42/x
  3. Step 3: Cross multiply
    14,315.22x = 19,754.19 × 7,941.42
  4. Step 4: Simplify right side
    14,315.22x = 156,876,319.55
  5. Step 5: Solve for x
    x = 156,876,319.55/14,315.22
  6. Step 6: Final answer
    x = 10,958.71

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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.