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Finding the Fourth Proportional to 6,205.88, 8,564.13 and 3,411.38

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Solution

The fourth proportional to 6,205.88, 8,564.13 and 3,411.38 is: 4,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.88 : 8,564.13 = 3,411.38 : x
  2. Step 2: Convert to fraction form
    6,205.88/8,564.13 = 3,411.38/x
  3. Step 3: Cross multiply
    6,205.88x = 8,564.13 × 3,411.38
  4. Step 4: Simplify right side
    6,205.88x = 29,215,458.98
  5. Step 5: Solve for x
    x = 29,215,458.98/6,205.88
  6. Step 6: Final answer
    x = 4,707.71

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Half scale
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Double scale
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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.