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Finding the Fourth Proportional to 21,747, 32,622.84 and 6,952.44

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Solution

The fourth proportional to 21,747, 32,622.84 and 6,952.44 is: 10,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747 : 32,622.84 = 6,952.44 : x
  2. Step 2: Convert to fraction form
    21,747/32,622.84 = 6,952.44/x
  3. Step 3: Cross multiply
    21,747x = 32,622.84 × 6,952.44
  4. Step 4: Simplify right side
    21,747x = 226,808,337.73
  5. Step 5: Solve for x
    x = 226,808,337.73/21,747
  6. Step 6: Final answer
    x = 10,429.41

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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.