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Finding the Fourth Proportional to 6,086.96, 9,077.03 and 6,031.54

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Solution

The fourth proportional to 6,086.96, 9,077.03 and 6,031.54 is: 8,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.96 : 9,077.03 = 6,031.54 : x
  2. Step 2: Convert to fraction form
    6,086.96/9,077.03 = 6,031.54/x
  3. Step 3: Cross multiply
    6,086.96x = 9,077.03 × 6,031.54
  4. Step 4: Simplify right side
    6,086.96x = 54,748,469.53
  5. Step 5: Solve for x
    x = 54,748,469.53/6,086.96
  6. Step 6: Final answer
    x = 8,994.39

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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.