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Finding the Fourth Proportional to 6,144.40, 8,472.40 and 3,903.44

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Solution

The fourth proportional to 6,144.40, 8,472.40 and 3,903.44 is: 5,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.40 : 8,472.40 = 3,903.44 : x
  2. Step 2: Convert to fraction form
    6,144.40/8,472.40 = 3,903.44/x
  3. Step 3: Cross multiply
    6,144.40x = 8,472.40 × 3,903.44
  4. Step 4: Simplify right side
    6,144.40x = 33,071,505.06
  5. Step 5: Solve for x
    x = 33,071,505.06/6,144.40
  6. Step 6: Final answer
    x = 5,382.38

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Half scale
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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.