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Finding the Fourth Proportional to 6,384.94, 9,573.42 and 2,874.22

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Solution

The fourth proportional to 6,384.94, 9,573.42 and 2,874.22 is: 4,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.94 : 9,573.42 = 2,874.22 : x
  2. Step 2: Convert to fraction form
    6,384.94/9,573.42 = 2,874.22/x
  3. Step 3: Cross multiply
    6,384.94x = 9,573.42 × 2,874.22
  4. Step 4: Simplify right side
    6,384.94x = 27,516,115.23
  5. Step 5: Solve for x
    x = 27,516,115.23/6,384.94
  6. Step 6: Final answer
    x = 4,309.53

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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.