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Finding the Fourth Proportional to 6,523.17, 9,784.74 and 3,238.56

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Solution

The fourth proportional to 6,523.17, 9,784.74 and 3,238.56 is: 4,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.17 : 9,784.74 = 3,238.56 : x
  2. Step 2: Convert to fraction form
    6,523.17/9,784.74 = 3,238.56/x
  3. Step 3: Cross multiply
    6,523.17x = 9,784.74 × 3,238.56
  4. Step 4: Simplify right side
    6,523.17x = 31,688,467.57
  5. Step 5: Solve for x
    x = 31,688,467.57/6,523.17
  6. Step 6: Final answer
    x = 4,857.83

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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.