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Finding the Fourth Proportional to 6,001.97, 8,282.54 and 3,349.31

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Solution

The fourth proportional to 6,001.97, 8,282.54 and 3,349.31 is: 4,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.97 : 8,282.54 = 3,349.31 : x
  2. Step 2: Convert to fraction form
    6,001.97/8,282.54 = 3,349.31/x
  3. Step 3: Cross multiply
    6,001.97x = 8,282.54 × 3,349.31
  4. Step 4: Simplify right side
    6,001.97x = 27,740,798.01
  5. Step 5: Solve for x
    x = 27,740,798.01/6,001.97
  6. Step 6: Final answer
    x = 4,621.95

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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.