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Finding the Fourth Proportional to 7,169.05, 9,892.74 and 4,024.63

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Solution

The fourth proportional to 7,169.05, 9,892.74 and 4,024.63 is: 5,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.05 : 9,892.74 = 4,024.63 : x
  2. Step 2: Convert to fraction form
    7,169.05/9,892.74 = 4,024.63/x
  3. Step 3: Cross multiply
    7,169.05x = 9,892.74 × 4,024.63
  4. Step 4: Simplify right side
    7,169.05x = 39,814,618.19
  5. Step 5: Solve for x
    x = 39,814,618.19/7,169.05
  6. Step 6: Final answer
    x = 5,553.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.