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Finding the Fourth Proportional to 17,327, 25,993.70 and 5,483.76

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Solution

The fourth proportional to 17,327, 25,993.70 and 5,483.76 is: 8,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327 : 25,993.70 = 5,483.76 : x
  2. Step 2: Convert to fraction form
    17,327/25,993.70 = 5,483.76/x
  3. Step 3: Cross multiply
    17,327x = 25,993.70 × 5,483.76
  4. Step 4: Simplify right side
    17,327x = 142,543,212.31
  5. Step 5: Solve for x
    x = 142,543,212.31/17,327
  6. Step 6: Final answer
    x = 8,226.65

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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.