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Finding the Fourth Proportional to 7,027.41, 9,678.08 and 6,874.32

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Solution

The fourth proportional to 7,027.41, 9,678.08 and 6,874.32 is: 9,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.41 : 9,678.08 = 6,874.32 : x
  2. Step 2: Convert to fraction form
    7,027.41/9,678.08 = 6,874.32/x
  3. Step 3: Cross multiply
    7,027.41x = 9,678.08 × 6,874.32
  4. Step 4: Simplify right side
    7,027.41x = 66,530,218.91
  5. Step 5: Solve for x
    x = 66,530,218.91/7,027.41
  6. Step 6: Final answer
    x = 9,467.25

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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.