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Finding the Fourth Proportional to 6,891.75, 10,337.83 and 1,697.63

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Solution

The fourth proportional to 6,891.75, 10,337.83 and 1,697.63 is: 2,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.75 : 10,337.83 = 1,697.63 : x
  2. Step 2: Convert to fraction form
    6,891.75/10,337.83 = 1,697.63/x
  3. Step 3: Cross multiply
    6,891.75x = 10,337.83 × 1,697.63
  4. Step 4: Simplify right side
    6,891.75x = 17,549,754.41
  5. Step 5: Solve for x
    x = 17,549,754.41/6,891.75
  6. Step 6: Final answer
    x = 2,546.49

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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.