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Finding the Fourth Proportional to 6,226.65, 9,341.78 and 1,844.19

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Solution

The fourth proportional to 6,226.65, 9,341.78 and 1,844.19 is: 2,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.65 : 9,341.78 = 1,844.19 : x
  2. Step 2: Convert to fraction form
    6,226.65/9,341.78 = 1,844.19/x
  3. Step 3: Cross multiply
    6,226.65x = 9,341.78 × 1,844.19
  4. Step 4: Simplify right side
    6,226.65x = 17,228,008.04
  5. Step 5: Solve for x
    x = 17,228,008.04/6,226.65
  6. Step 6: Final answer
    x = 2,766.82

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1.5x scale

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.