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Finding the Fourth Proportional to 7,099.12, 9,796.56 and 4,447.96

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Solution

The fourth proportional to 7,099.12, 9,796.56 and 4,447.96 is: 6,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.12 : 9,796.56 = 4,447.96 : x
  2. Step 2: Convert to fraction form
    7,099.12/9,796.56 = 4,447.96/x
  3. Step 3: Cross multiply
    7,099.12x = 9,796.56 × 4,447.96
  4. Step 4: Simplify right side
    7,099.12x = 43,574,707.02
  5. Step 5: Solve for x
    x = 43,574,707.02/7,099.12
  6. Step 6: Final answer
    x = 6,138.04

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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.