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Finding the Fourth Proportional to 6,055.52, 9,034.05 and 5,489.64

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Solution

The fourth proportional to 6,055.52, 9,034.05 and 5,489.64 is: 8,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.52 : 9,034.05 = 5,489.64 : x
  2. Step 2: Convert to fraction form
    6,055.52/9,034.05 = 5,489.64/x
  3. Step 3: Cross multiply
    6,055.52x = 9,034.05 × 5,489.64
  4. Step 4: Simplify right side
    6,055.52x = 49,593,682.24
  5. Step 5: Solve for x
    x = 49,593,682.24/6,055.52
  6. Step 6: Final answer
    x = 8,189.83

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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.