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Finding the Fourth Proportional to 6,702.75, 10,054.13 and 2,085.75

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Solution

The fourth proportional to 6,702.75, 10,054.13 and 2,085.75 is: 3,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.75 : 10,054.13 = 2,085.75 : x
  2. Step 2: Convert to fraction form
    6,702.75/10,054.13 = 2,085.75/x
  3. Step 3: Cross multiply
    6,702.75x = 10,054.13 × 2,085.75
  4. Step 4: Simplify right side
    6,702.75x = 20,970,391.22
  5. Step 5: Solve for x
    x = 20,970,391.22/6,702.75
  6. Step 6: Final answer
    x = 3,128.63

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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.