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Finding the Fourth Proportional to 7,204.82, 9,942.50 and 4,018.03

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Solution

The fourth proportional to 7,204.82, 9,942.50 and 4,018.03 is: 5,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.82 : 9,942.50 = 4,018.03 : x
  2. Step 2: Convert to fraction form
    7,204.82/9,942.50 = 4,018.03/x
  3. Step 3: Cross multiply
    7,204.82x = 9,942.50 × 4,018.03
  4. Step 4: Simplify right side
    7,204.82x = 39,949,248.46
  5. Step 5: Solve for x
    x = 39,949,248.46/7,204.82
  6. Step 6: Final answer
    x = 5,544.80

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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.