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Finding the Fourth Proportional to 9,872.34, 13,619.17 and 5,836.44

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Solution

The fourth proportional to 9,872.34, 13,619.17 and 5,836.44 is: 8,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.34 : 13,619.17 = 5,836.44 : x
  2. Step 2: Convert to fraction form
    9,872.34/13,619.17 = 5,836.44/x
  3. Step 3: Cross multiply
    9,872.34x = 13,619.17 × 5,836.44
  4. Step 4: Simplify right side
    9,872.34x = 79,487,468.55
  5. Step 5: Solve for x
    x = 79,487,468.55/9,872.34
  6. Step 6: Final answer
    x = 8,051.53

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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.