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Finding the Fourth Proportional to 6,886.52, 9,504.78 and 4,091.48

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Solution

The fourth proportional to 6,886.52, 9,504.78 and 4,091.48 is: 5,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.52 : 9,504.78 = 4,091.48 : x
  2. Step 2: Convert to fraction form
    6,886.52/9,504.78 = 4,091.48/x
  3. Step 3: Cross multiply
    6,886.52x = 9,504.78 × 4,091.48
  4. Step 4: Simplify right side
    6,886.52x = 38,888,617.27
  5. Step 5: Solve for x
    x = 38,888,617.27/6,886.52
  6. Step 6: Final answer
    x = 5,647.06

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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.