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Finding the Fourth Proportional to 6,334.40, 9,496.88 and 3,044.40

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Solution

The fourth proportional to 6,334.40, 9,496.88 and 3,044.40 is: 4,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.40 : 9,496.88 = 3,044.40 : x
  2. Step 2: Convert to fraction form
    6,334.40/9,496.88 = 3,044.40/x
  3. Step 3: Cross multiply
    6,334.40x = 9,496.88 × 3,044.40
  4. Step 4: Simplify right side
    6,334.40x = 28,912,301.47
  5. Step 5: Solve for x
    x = 28,912,301.47/6,334.40
  6. Step 6: Final answer
    x = 4,564.33

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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.