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Finding the Fourth Proportional to 10,774.27, 16,153.44 and 4,197.07

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Solution

The fourth proportional to 10,774.27, 16,153.44 and 4,197.07 is: 6,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.27 : 16,153.44 = 4,197.07 : x
  2. Step 2: Convert to fraction form
    10,774.27/16,153.44 = 4,197.07/x
  3. Step 3: Cross multiply
    10,774.27x = 16,153.44 × 4,197.07
  4. Step 4: Simplify right side
    10,774.27x = 67,797,118.42
  5. Step 5: Solve for x
    x = 67,797,118.42/10,774.27
  6. Step 6: Final answer
    x = 6,292.50

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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.