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Finding the Fourth Proportional to 6,349.49, 9,524.49 and 2,838.90

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Solution

The fourth proportional to 6,349.49, 9,524.49 and 2,838.90 is: 4,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.49 : 9,524.49 = 2,838.90 : x
  2. Step 2: Convert to fraction form
    6,349.49/9,524.49 = 2,838.90/x
  3. Step 3: Cross multiply
    6,349.49x = 9,524.49 × 2,838.90
  4. Step 4: Simplify right side
    6,349.49x = 27,039,046.16
  5. Step 5: Solve for x
    x = 27,039,046.16/6,349.49
  6. Step 6: Final answer
    x = 4,258.46

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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.