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Finding the Fourth Proportional to 6,292.84, 8,684.42 and 3,640.68

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Solution

The fourth proportional to 6,292.84, 8,684.42 and 3,640.68 is: 5,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.84 : 8,684.42 = 3,640.68 : x
  2. Step 2: Convert to fraction form
    6,292.84/8,684.42 = 3,640.68/x
  3. Step 3: Cross multiply
    6,292.84x = 8,684.42 × 3,640.68
  4. Step 4: Simplify right side
    6,292.84x = 31,617,194.21
  5. Step 5: Solve for x
    x = 31,617,194.21/6,292.84
  6. Step 6: Final answer
    x = 5,024.31

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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.