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Finding the Fourth Proportional to 7,213.05, 9,954.63 and 4,027.05

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Solution

The fourth proportional to 7,213.05, 9,954.63 and 4,027.05 is: 5,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.05 : 9,954.63 = 4,027.05 : x
  2. Step 2: Convert to fraction form
    7,213.05/9,954.63 = 4,027.05/x
  3. Step 3: Cross multiply
    7,213.05x = 9,954.63 × 4,027.05
  4. Step 4: Simplify right side
    7,213.05x = 40,087,792.74
  5. Step 5: Solve for x
    x = 40,087,792.74/7,213.05
  6. Step 6: Final answer
    x = 5,557.68

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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.