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Finding the Fourth Proportional to 5,207.76, 7,811.87 and 1,697.76

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Solution

The fourth proportional to 5,207.76, 7,811.87 and 1,697.76 is: 2,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.76 : 7,811.87 = 1,697.76 : x
  2. Step 2: Convert to fraction form
    5,207.76/7,811.87 = 1,697.76/x
  3. Step 3: Cross multiply
    5,207.76x = 7,811.87 × 1,697.76
  4. Step 4: Simplify right side
    5,207.76x = 13,262,671.92
  5. Step 5: Solve for x
    x = 13,262,671.92/5,207.76
  6. Step 6: Final answer
    x = 2,546.71

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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.