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Finding the Fourth Proportional to 9,219.62, 13,821.12 and 6,259.07

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Solution

The fourth proportional to 9,219.62, 13,821.12 and 6,259.07 is: 9,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.62 : 13,821.12 = 6,259.07 : x
  2. Step 2: Convert to fraction form
    9,219.62/13,821.12 = 6,259.07/x
  3. Step 3: Cross multiply
    9,219.62x = 13,821.12 × 6,259.07
  4. Step 4: Simplify right side
    9,219.62x = 86,507,357.56
  5. Step 5: Solve for x
    x = 86,507,357.56/9,219.62
  6. Step 6: Final answer
    x = 9,382.96

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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.