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Finding the Fourth Proportional to 6,846.48, 9,443.88 and 4,050

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Solution

The fourth proportional to 6,846.48, 9,443.88 and 4,050 is: 5,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.48 : 9,443.88 = 4,050 : x
  2. Step 2: Convert to fraction form
    6,846.48/9,443.88 = 4,050/x
  3. Step 3: Cross multiply
    6,846.48x = 9,443.88 × 4,050
  4. Step 4: Simplify right side
    6,846.48x = 38,247,714
  5. Step 5: Solve for x
    x = 38,247,714/6,846.48
  6. Step 6: Final answer
    x = 5,586.48

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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.