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Finding the Fourth Proportional to 6,848.97, 9,450.81 and 3,864.48

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Solution

The fourth proportional to 6,848.97, 9,450.81 and 3,864.48 is: 5,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.97 : 9,450.81 = 3,864.48 : x
  2. Step 2: Convert to fraction form
    6,848.97/9,450.81 = 3,864.48/x
  3. Step 3: Cross multiply
    6,848.97x = 9,450.81 × 3,864.48
  4. Step 4: Simplify right side
    6,848.97x = 36,522,466.23
  5. Step 5: Solve for x
    x = 36,522,466.23/6,848.97
  6. Step 6: Final answer
    x = 5,332.55

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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.