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Finding the Fourth Proportional to 6,837.46, 9,432.46 and 4,003.08

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Solution

The fourth proportional to 6,837.46, 9,432.46 and 4,003.08 is: 5,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.46 : 9,432.46 = 4,003.08 : x
  2. Step 2: Convert to fraction form
    6,837.46/9,432.46 = 4,003.08/x
  3. Step 3: Cross multiply
    6,837.46x = 9,432.46 × 4,003.08
  4. Step 4: Simplify right side
    6,837.46x = 37,758,891.98
  5. Step 5: Solve for x
    x = 37,758,891.98/6,837.46
  6. Step 6: Final answer
    x = 5,522.36

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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.