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Finding the Fourth Proportional to 9,651.90, 14,473.74 and 5,493.87

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Solution

The fourth proportional to 9,651.90, 14,473.74 and 5,493.87 is: 8,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.90 : 14,473.74 = 5,493.87 : x
  2. Step 2: Convert to fraction form
    9,651.90/14,473.74 = 5,493.87/x
  3. Step 3: Cross multiply
    9,651.90x = 14,473.74 × 5,493.87
  4. Step 4: Simplify right side
    9,651.90x = 79,516,845.97
  5. Step 5: Solve for x
    x = 79,516,845.97/9,651.90
  6. Step 6: Final answer
    x = 8,238.47

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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.