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Finding the Fourth Proportional to 7,099.07, 9,796.47 and 4,074.68

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Solution

The fourth proportional to 7,099.07, 9,796.47 and 4,074.68 is: 5,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.07 : 9,796.47 = 4,074.68 : x
  2. Step 2: Convert to fraction form
    7,099.07/9,796.47 = 4,074.68/x
  3. Step 3: Cross multiply
    7,099.07x = 9,796.47 × 4,074.68
  4. Step 4: Simplify right side
    7,099.07x = 39,917,431.40
  5. Step 5: Solve for x
    x = 39,917,431.40/7,099.07
  6. Step 6: Final answer
    x = 5,622.91

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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.