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Finding the Fourth Proportional to 6,886.75, 9,505.97 and 4,054.09

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Solution

The fourth proportional to 6,886.75, 9,505.97 and 4,054.09 is: 5,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.75 : 9,505.97 = 4,054.09 : x
  2. Step 2: Convert to fraction form
    6,886.75/9,505.97 = 4,054.09/x
  3. Step 3: Cross multiply
    6,886.75x = 9,505.97 × 4,054.09
  4. Step 4: Simplify right side
    6,886.75x = 38,538,057.92
  5. Step 5: Solve for x
    x = 38,538,057.92/6,886.75
  6. Step 6: Final answer
    x = 5,595.97

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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.