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Finding the Fourth Proportional to 21,884.24, 32,832 and 6,303.08

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Solution

The fourth proportional to 21,884.24, 32,832 and 6,303.08 is: 9,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.24 : 32,832 = 6,303.08 : x
  2. Step 2: Convert to fraction form
    21,884.24/32,832 = 6,303.08/x
  3. Step 3: Cross multiply
    21,884.24x = 32,832 × 6,303.08
  4. Step 4: Simplify right side
    21,884.24x = 206,942,722.56
  5. Step 5: Solve for x
    x = 206,942,722.56/21,884.24
  6. Step 6: Final answer
    x = 9,456.24

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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.