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Finding the Fourth Proportional to 6,842.62, 10,226.40 and 4,997.62

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Solution

The fourth proportional to 6,842.62, 10,226.40 and 4,997.62 is: 7,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.62 : 10,226.40 = 4,997.62 : x
  2. Step 2: Convert to fraction form
    6,842.62/10,226.40 = 4,997.62/x
  3. Step 3: Cross multiply
    6,842.62x = 10,226.40 × 4,997.62
  4. Step 4: Simplify right side
    6,842.62x = 51,107,661.17
  5. Step 5: Solve for x
    x = 51,107,661.17/6,842.62
  6. Step 6: Final answer
    x = 7,469.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.