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Finding the Fourth Proportional to 7,206.90, 9,944.25 and 4,063.09

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Solution

The fourth proportional to 7,206.90, 9,944.25 and 4,063.09 is: 5,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.90 : 9,944.25 = 4,063.09 : x
  2. Step 2: Convert to fraction form
    7,206.90/9,944.25 = 4,063.09/x
  3. Step 3: Cross multiply
    7,206.90x = 9,944.25 × 4,063.09
  4. Step 4: Simplify right side
    7,206.90x = 40,404,342.64
  5. Step 5: Solve for x
    x = 40,404,342.64/7,206.90
  6. Step 6: Final answer
    x = 5,606.34

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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.