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Finding the Fourth Proportional to 7,093.87, 9,791.58 and 4,742.84

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Solution

The fourth proportional to 7,093.87, 9,791.58 and 4,742.84 is: 6,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.87 : 9,791.58 = 4,742.84 : x
  2. Step 2: Convert to fraction form
    7,093.87/9,791.58 = 4,742.84/x
  3. Step 3: Cross multiply
    7,093.87x = 9,791.58 × 4,742.84
  4. Step 4: Simplify right side
    7,093.87x = 46,439,921.77
  5. Step 5: Solve for x
    x = 46,439,921.77/7,093.87
  6. Step 6: Final answer
    x = 6,546.49

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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.