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Finding the Fourth Proportional to 6,375.74, 9,563.36 and 1,695.78

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Solution

The fourth proportional to 6,375.74, 9,563.36 and 1,695.78 is: 2,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.74 : 9,563.36 = 1,695.78 : x
  2. Step 2: Convert to fraction form
    6,375.74/9,563.36 = 1,695.78/x
  3. Step 3: Cross multiply
    6,375.74x = 9,563.36 × 1,695.78
  4. Step 4: Simplify right side
    6,375.74x = 16,217,346.14
  5. Step 5: Solve for x
    x = 16,217,346.14/6,375.74
  6. Step 6: Final answer
    x = 2,543.60

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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.