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Finding the Fourth Proportional to 10,651.42, 14,698.97 and 5,935.87

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Solution

The fourth proportional to 10,651.42, 14,698.97 and 5,935.87 is: 8,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.42 : 14,698.97 = 5,935.87 : x
  2. Step 2: Convert to fraction form
    10,651.42/14,698.97 = 5,935.87/x
  3. Step 3: Cross multiply
    10,651.42x = 14,698.97 × 5,935.87
  4. Step 4: Simplify right side
    10,651.42x = 87,251,175.05
  5. Step 5: Solve for x
    x = 87,251,175.05/10,651.42
  6. Step 6: Final answer
    x = 8,191.51

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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.