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Finding the Fourth Proportional to 6,357.91, 9,523.05 and 3,583.12

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Solution

The fourth proportional to 6,357.91, 9,523.05 and 3,583.12 is: 5,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.91 : 9,523.05 = 3,583.12 : x
  2. Step 2: Convert to fraction form
    6,357.91/9,523.05 = 3,583.12/x
  3. Step 3: Cross multiply
    6,357.91x = 9,523.05 × 3,583.12
  4. Step 4: Simplify right side
    6,357.91x = 34,122,230.92
  5. Step 5: Solve for x
    x = 34,122,230.92/6,357.91
  6. Step 6: Final answer
    x = 5,366.89

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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.