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Finding the Fourth Proportional to 6,453.75, 9,679.71 and 2,070.63

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Solution

The fourth proportional to 6,453.75, 9,679.71 and 2,070.63 is: 3,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.75 : 9,679.71 = 2,070.63 : x
  2. Step 2: Convert to fraction form
    6,453.75/9,679.71 = 2,070.63/x
  3. Step 3: Cross multiply
    6,453.75x = 9,679.71 × 2,070.63
  4. Step 4: Simplify right side
    6,453.75x = 20,043,097.92
  5. Step 5: Solve for x
    x = 20,043,097.92/6,453.75
  6. Step 6: Final answer
    x = 3,105.65

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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.