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Finding the Fourth Proportional to 6,092.08, 9,078.82 and 5,434.16

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Solution

The fourth proportional to 6,092.08, 9,078.82 and 5,434.16 is: 8,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.08 : 9,078.82 = 5,434.16 : x
  2. Step 2: Convert to fraction form
    6,092.08/9,078.82 = 5,434.16/x
  3. Step 3: Cross multiply
    6,092.08x = 9,078.82 × 5,434.16
  4. Step 4: Simplify right side
    6,092.08x = 49,335,701.51
  5. Step 5: Solve for x
    x = 49,335,701.51/6,092.08
  6. Step 6: Final answer
    x = 8,098.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.