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Finding the Fourth Proportional to 6,264.25, 8,644.67 and 3,469.93

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Solution

The fourth proportional to 6,264.25, 8,644.67 and 3,469.93 is: 4,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.25 : 8,644.67 = 3,469.93 : x
  2. Step 2: Convert to fraction form
    6,264.25/8,644.67 = 3,469.93/x
  3. Step 3: Cross multiply
    6,264.25x = 8,644.67 × 3,469.93
  4. Step 4: Simplify right side
    6,264.25x = 29,996,382.42
  5. Step 5: Solve for x
    x = 29,996,382.42/6,264.25
  6. Step 6: Final answer
    x = 4,788.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.