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Finding the Fourth Proportional to 7,194.78, 9,928.86 and 4,361.22

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Solution

The fourth proportional to 7,194.78, 9,928.86 and 4,361.22 is: 6,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.78 : 9,928.86 = 4,361.22 : x
  2. Step 2: Convert to fraction form
    7,194.78/9,928.86 = 4,361.22/x
  3. Step 3: Cross multiply
    7,194.78x = 9,928.86 × 4,361.22
  4. Step 4: Simplify right side
    7,194.78x = 43,301,942.81
  5. Step 5: Solve for x
    x = 43,301,942.81/7,194.78
  6. Step 6: Final answer
    x = 6,018.52

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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.