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Finding the Fourth Proportional to 7,206.95, 9,944.71 and 4,019.50

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Solution

The fourth proportional to 7,206.95, 9,944.71 and 4,019.50 is: 5,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.95 : 9,944.71 = 4,019.50 : x
  2. Step 2: Convert to fraction form
    7,206.95/9,944.71 = 4,019.50/x
  3. Step 3: Cross multiply
    7,206.95x = 9,944.71 × 4,019.50
  4. Step 4: Simplify right side
    7,206.95x = 39,972,761.85
  5. Step 5: Solve for x
    x = 39,972,761.85/7,206.95
  6. Step 6: Final answer
    x = 5,546.42

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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.