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Finding the Fourth Proportional to 9,037, 13,523.10 and 5,341.24

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Solution

The fourth proportional to 9,037, 13,523.10 and 5,341.24 is: 7,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037 : 13,523.10 = 5,341.24 : x
  2. Step 2: Convert to fraction form
    9,037/13,523.10 = 5,341.24/x
  3. Step 3: Cross multiply
    9,037x = 13,523.10 × 5,341.24
  4. Step 4: Simplify right side
    9,037x = 72,230,122.64
  5. Step 5: Solve for x
    x = 72,230,122.64/9,037
  6. Step 6: Final answer
    x = 7,992.71

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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.