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Finding the Fourth Proportional to 6,471.60, 9,704.94 and 5,101.08

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Solution

The fourth proportional to 6,471.60, 9,704.94 and 5,101.08 is: 7,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.60 : 9,704.94 = 5,101.08 : x
  2. Step 2: Convert to fraction form
    6,471.60/9,704.94 = 5,101.08/x
  3. Step 3: Cross multiply
    6,471.60x = 9,704.94 × 5,101.08
  4. Step 4: Simplify right side
    6,471.60x = 49,505,675.34
  5. Step 5: Solve for x
    x = 49,505,675.34/6,471.60
  6. Step 6: Final answer
    x = 7,649.68

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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.