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Finding the Fourth Proportional to 20,633.84, 30,962.64 and 8,948.24

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Solution

The fourth proportional to 20,633.84, 30,962.64 and 8,948.24 is: 13,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.84 : 30,962.64 = 8,948.24 : x
  2. Step 2: Convert to fraction form
    20,633.84/30,962.64 = 8,948.24/x
  3. Step 3: Cross multiply
    20,633.84x = 30,962.64 × 8,948.24
  4. Step 4: Simplify right side
    20,633.84x = 277,061,133.75
  5. Step 5: Solve for x
    x = 277,061,133.75/20,633.84
  6. Step 6: Final answer
    x = 13,427.51

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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.