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Finding the Fourth Proportional to 6,842.37, 9,442.19 and 3,817.48

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Solution

The fourth proportional to 6,842.37, 9,442.19 and 3,817.48 is: 5,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.37 : 9,442.19 = 3,817.48 : x
  2. Step 2: Convert to fraction form
    6,842.37/9,442.19 = 3,817.48/x
  3. Step 3: Cross multiply
    6,842.37x = 9,442.19 × 3,817.48
  4. Step 4: Simplify right side
    6,842.37x = 36,045,353.65
  5. Step 5: Solve for x
    x = 36,045,353.65/6,842.37
  6. Step 6: Final answer
    x = 5,267.96

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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.