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Finding the Fourth Proportional to 6,454.05, 9,680.87 and 1,837.05

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Solution

The fourth proportional to 6,454.05, 9,680.87 and 1,837.05 is: 2,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.05 : 9,680.87 = 1,837.05 : x
  2. Step 2: Convert to fraction form
    6,454.05/9,680.87 = 1,837.05/x
  3. Step 3: Cross multiply
    6,454.05x = 9,680.87 × 1,837.05
  4. Step 4: Simplify right side
    6,454.05x = 17,784,200.19
  5. Step 5: Solve for x
    x = 17,784,200.19/6,454.05
  6. Step 6: Final answer
    x = 2,755.51

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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.