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Finding the Fourth Proportional to 6,589.76, 9,094 and 3,937.17

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Solution

The fourth proportional to 6,589.76, 9,094 and 3,937.17 is: 5,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.76 : 9,094 = 3,937.17 : x
  2. Step 2: Convert to fraction form
    6,589.76/9,094 = 3,937.17/x
  3. Step 3: Cross multiply
    6,589.76x = 9,094 × 3,937.17
  4. Step 4: Simplify right side
    6,589.76x = 35,804,623.98
  5. Step 5: Solve for x
    x = 35,804,623.98/6,589.76
  6. Step 6: Final answer
    x = 5,433.37

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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.