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Finding the Fourth Proportional to 5,697.50, 8,546.51 and 1,748.47

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Solution

The fourth proportional to 5,697.50, 8,546.51 and 1,748.47 is: 2,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.50 : 8,546.51 = 1,748.47 : x
  2. Step 2: Convert to fraction form
    5,697.50/8,546.51 = 1,748.47/x
  3. Step 3: Cross multiply
    5,697.50x = 8,546.51 × 1,748.47
  4. Step 4: Simplify right side
    5,697.50x = 14,943,286.23
  5. Step 5: Solve for x
    x = 14,943,286.23/5,697.50
  6. Step 6: Final answer
    x = 2,622.78

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Double scale
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Similar ratio
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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.