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Finding the Fourth Proportional to 6,467.59, 9,702.60 and 2,083.87

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Solution

The fourth proportional to 6,467.59, 9,702.60 and 2,083.87 is: 3,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.59 : 9,702.60 = 2,083.87 : x
  2. Step 2: Convert to fraction form
    6,467.59/9,702.60 = 2,083.87/x
  3. Step 3: Cross multiply
    6,467.59x = 9,702.60 × 2,083.87
  4. Step 4: Simplify right side
    6,467.59x = 20,218,957.06
  5. Step 5: Solve for x
    x = 20,218,957.06/6,467.59
  6. Step 6: Final answer
    x = 3,126.20

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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.