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Finding the Fourth Proportional to 7,099.01, 9,796.68 and 4,447.97

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Solution

The fourth proportional to 7,099.01, 9,796.68 and 4,447.97 is: 6,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.01 : 9,796.68 = 4,447.97 : x
  2. Step 2: Convert to fraction form
    7,099.01/9,796.68 = 4,447.97/x
  3. Step 3: Cross multiply
    7,099.01x = 9,796.68 × 4,447.97
  4. Step 4: Simplify right side
    7,099.01x = 43,575,289.76
  5. Step 5: Solve for x
    x = 43,575,289.76/7,099.01
  6. Step 6: Final answer
    x = 6,138.22

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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.