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Finding the Fourth Proportional to 7,202.44, 9,942.12 and 4,851.28

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Solution

The fourth proportional to 7,202.44, 9,942.12 and 4,851.28 is: 6,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.44 : 9,942.12 = 4,851.28 : x
  2. Step 2: Convert to fraction form
    7,202.44/9,942.12 = 4,851.28/x
  3. Step 3: Cross multiply
    7,202.44x = 9,942.12 × 4,851.28
  4. Step 4: Simplify right side
    7,202.44x = 48,232,007.91
  5. Step 5: Solve for x
    x = 48,232,007.91/7,202.44
  6. Step 6: Final answer
    x = 6,696.62

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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.