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Finding the Fourth Proportional to 4,964.49, 6,851.54 and 2,840.22

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Solution

The fourth proportional to 4,964.49, 6,851.54 and 2,840.22 is: 3,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.49 : 6,851.54 = 2,840.22 : x
  2. Step 2: Convert to fraction form
    4,964.49/6,851.54 = 2,840.22/x
  3. Step 3: Cross multiply
    4,964.49x = 6,851.54 × 2,840.22
  4. Step 4: Simplify right side
    4,964.49x = 19,459,846.68
  5. Step 5: Solve for x
    x = 19,459,846.68/4,964.49
  6. Step 6: Final answer
    x = 3,919.81

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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.