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Finding the Fourth Proportional to 21,825.25, 32,737.88 and 6,242.88

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Solution

The fourth proportional to 21,825.25, 32,737.88 and 6,242.88 is: 9,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.25 : 32,737.88 = 6,242.88 : x
  2. Step 2: Convert to fraction form
    21,825.25/32,737.88 = 6,242.88/x
  3. Step 3: Cross multiply
    21,825.25x = 32,737.88 × 6,242.88
  4. Step 4: Simplify right side
    21,825.25x = 204,378,656.29
  5. Step 5: Solve for x
    x = 204,378,656.29/21,825.25
  6. Step 6: Final answer
    x = 9,364.32

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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.