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Finding the Fourth Proportional to 6,851.92, 10,252.62 and 4,844.68

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Solution

The fourth proportional to 6,851.92, 10,252.62 and 4,844.68 is: 7,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.92 : 10,252.62 = 4,844.68 : x
  2. Step 2: Convert to fraction form
    6,851.92/10,252.62 = 4,844.68/x
  3. Step 3: Cross multiply
    6,851.92x = 10,252.62 × 4,844.68
  4. Step 4: Simplify right side
    6,851.92x = 49,670,663.06
  5. Step 5: Solve for x
    x = 49,670,663.06/6,851.92
  6. Step 6: Final answer
    x = 7,249.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.