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Finding the Fourth Proportional to 6,037.48, 9,049.74 and 2,953

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Solution

The fourth proportional to 6,037.48, 9,049.74 and 2,953 is: 4,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.48 : 9,049.74 = 2,953 : x
  2. Step 2: Convert to fraction form
    6,037.48/9,049.74 = 2,953/x
  3. Step 3: Cross multiply
    6,037.48x = 9,049.74 × 2,953
  4. Step 4: Simplify right side
    6,037.48x = 26,723,882.22
  5. Step 5: Solve for x
    x = 26,723,882.22/6,037.48
  6. Step 6: Final answer
    x = 4,426.33

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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.