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Finding the Fourth Proportional to 21,737.57, 32,606.52 and 7,697.65

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Solution

The fourth proportional to 21,737.57, 32,606.52 and 7,697.65 is: 11,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.57 : 32,606.52 = 7,697.65 : x
  2. Step 2: Convert to fraction form
    21,737.57/32,606.52 = 7,697.65/x
  3. Step 3: Cross multiply
    21,737.57x = 32,606.52 × 7,697.65
  4. Step 4: Simplify right side
    21,737.57x = 250,993,529.43
  5. Step 5: Solve for x
    x = 250,993,529.43/21,737.57
  6. Step 6: Final answer
    x = 11,546.53

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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.