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Finding the Fourth Proportional to 6,440.34, 9,633.81 and 6,046.68

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Solution

The fourth proportional to 6,440.34, 9,633.81 and 6,046.68 is: 9,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.34 : 9,633.81 = 6,046.68 : x
  2. Step 2: Convert to fraction form
    6,440.34/9,633.81 = 6,046.68/x
  3. Step 3: Cross multiply
    6,440.34x = 9,633.81 × 6,046.68
  4. Step 4: Simplify right side
    6,440.34x = 58,252,566.25
  5. Step 5: Solve for x
    x = 58,252,566.25/6,440.34
  6. Step 6: Final answer
    x = 9,044.95

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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.