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Finding the Fourth Proportional to 6,705.89, 9,253.06 and 3,721.66

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Solution

The fourth proportional to 6,705.89, 9,253.06 and 3,721.66 is: 5,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.89 : 9,253.06 = 3,721.66 : x
  2. Step 2: Convert to fraction form
    6,705.89/9,253.06 = 3,721.66/x
  3. Step 3: Cross multiply
    6,705.89x = 9,253.06 × 3,721.66
  4. Step 4: Simplify right side
    6,705.89x = 34,436,734.32
  5. Step 5: Solve for x
    x = 34,436,734.32/6,705.89
  6. Step 6: Final answer
    x = 5,135.30

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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.