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Finding the Fourth Proportional to 6,523.90, 9,785.85 and 6,091.90

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Solution

The fourth proportional to 6,523.90, 9,785.85 and 6,091.90 is: 9,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.90 : 9,785.85 = 6,091.90 : x
  2. Step 2: Convert to fraction form
    6,523.90/9,785.85 = 6,091.90/x
  3. Step 3: Cross multiply
    6,523.90x = 9,785.85 × 6,091.90
  4. Step 4: Simplify right side
    6,523.90x = 59,614,419.62
  5. Step 5: Solve for x
    x = 59,614,419.62/6,523.90
  6. Step 6: Final answer
    x = 9,137.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.