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Finding the Fourth Proportional to 21,994.62, 32,994.45 and 6,412.24

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Solution

The fourth proportional to 21,994.62, 32,994.45 and 6,412.24 is: 9,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.62 : 32,994.45 = 6,412.24 : x
  2. Step 2: Convert to fraction form
    21,994.62/32,994.45 = 6,412.24/x
  3. Step 3: Cross multiply
    21,994.62x = 32,994.45 × 6,412.24
  4. Step 4: Simplify right side
    21,994.62x = 211,568,332.07
  5. Step 5: Solve for x
    x = 211,568,332.07/21,994.62
  6. Step 6: Final answer
    x = 9,619.09

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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.