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Finding the Fourth Proportional to 7,204.52, 9,942.54 and 4,219.94

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Solution

The fourth proportional to 7,204.52, 9,942.54 and 4,219.94 is: 5,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.52 : 9,942.54 = 4,219.94 : x
  2. Step 2: Convert to fraction form
    7,204.52/9,942.54 = 4,219.94/x
  3. Step 3: Cross multiply
    7,204.52x = 9,942.54 × 4,219.94
  4. Step 4: Simplify right side
    7,204.52x = 41,956,922.25
  5. Step 5: Solve for x
    x = 41,956,922.25/7,204.52
  6. Step 6: Final answer
    x = 5,823.69

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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.