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Finding the Fourth Proportional to 4,660.74, 6,982.91 and 4,383.26

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Solution

The fourth proportional to 4,660.74, 6,982.91 and 4,383.26 is: 6,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.74 : 6,982.91 = 4,383.26 : x
  2. Step 2: Convert to fraction form
    4,660.74/6,982.91 = 4,383.26/x
  3. Step 3: Cross multiply
    4,660.74x = 6,982.91 × 4,383.26
  4. Step 4: Simplify right side
    4,660.74x = 30,607,935.16
  5. Step 5: Solve for x
    x = 30,607,935.16/4,660.74
  6. Step 6: Final answer
    x = 6,567.18

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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.