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Finding the Fourth Proportional to 7,119.73, 9,825.22 and 3,975.92

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Solution

The fourth proportional to 7,119.73, 9,825.22 and 3,975.92 is: 5,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.73 : 9,825.22 = 3,975.92 : x
  2. Step 2: Convert to fraction form
    7,119.73/9,825.22 = 3,975.92/x
  3. Step 3: Cross multiply
    7,119.73x = 9,825.22 × 3,975.92
  4. Step 4: Simplify right side
    7,119.73x = 39,064,288.70
  5. Step 5: Solve for x
    x = 39,064,288.70/7,119.73
  6. Step 6: Final answer
    x = 5,486.77

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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.