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Finding the Fourth Proportional to 21,410.46, 32,115.96 and 7,549.74

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Solution

The fourth proportional to 21,410.46, 32,115.96 and 7,549.74 is: 11,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.46 : 32,115.96 = 7,549.74 : x
  2. Step 2: Convert to fraction form
    21,410.46/32,115.96 = 7,549.74/x
  3. Step 3: Cross multiply
    21,410.46x = 32,115.96 × 7,549.74
  4. Step 4: Simplify right side
    21,410.46x = 242,467,147.85
  5. Step 5: Solve for x
    x = 242,467,147.85/21,410.46
  6. Step 6: Final answer
    x = 11,324.71

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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.