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Finding the Fourth Proportional to 9,398.81, 12,964.49 and 6,046.00

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Solution

The fourth proportional to 9,398.81, 12,964.49 and 6,046.00 is: 8,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.81 : 12,964.49 = 6,046.00 : x
  2. Step 2: Convert to fraction form
    9,398.81/12,964.49 = 6,046.00/x
  3. Step 3: Cross multiply
    9,398.81x = 12,964.49 × 6,046.00
  4. Step 4: Simplify right side
    9,398.81x = 78,383,241.72
  5. Step 5: Solve for x
    x = 78,383,241.72/9,398.81
  6. Step 6: Final answer
    x = 8,339.70

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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.