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Finding the Fourth Proportional to 6,806.63, 10,209.95 and 2,702.63

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Solution

The fourth proportional to 6,806.63, 10,209.95 and 2,702.63 is: 4,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.63 : 10,209.95 = 2,702.63 : x
  2. Step 2: Convert to fraction form
    6,806.63/10,209.95 = 2,702.63/x
  3. Step 3: Cross multiply
    6,806.63x = 10,209.95 × 2,702.63
  4. Step 4: Simplify right side
    6,806.63x = 27,593,652.61
  5. Step 5: Solve for x
    x = 27,593,652.61/6,806.63
  6. Step 6: Final answer
    x = 4,053.94

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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.