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Finding the Fourth Proportional to 6,264.53, 8,640.88 and 4,029.23

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Solution

The fourth proportional to 6,264.53, 8,640.88 and 4,029.23 is: 5,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.53 : 8,640.88 = 4,029.23 : x
  2. Step 2: Convert to fraction form
    6,264.53/8,640.88 = 4,029.23/x
  3. Step 3: Cross multiply
    6,264.53x = 8,640.88 × 4,029.23
  4. Step 4: Simplify right side
    6,264.53x = 34,816,092.92
  5. Step 5: Solve for x
    x = 34,816,092.92/6,264.53
  6. Step 6: Final answer
    x = 5,557.66

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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.