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Finding the Fourth Proportional to 6,845.48, 9,448.28 and 4,451.28

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Solution

The fourth proportional to 6,845.48, 9,448.28 and 4,451.28 is: 6,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.48 : 9,448.28 = 4,451.28 : x
  2. Step 2: Convert to fraction form
    6,845.48/9,448.28 = 4,451.28/x
  3. Step 3: Cross multiply
    6,845.48x = 9,448.28 × 4,451.28
  4. Step 4: Simplify right side
    6,845.48x = 42,056,917.54
  5. Step 5: Solve for x
    x = 42,056,917.54/6,845.48
  6. Step 6: Final answer
    x = 6,143.75

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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.