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Finding the Fourth Proportional to 7,610.70, 11,416.80 and 2,064.12

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Solution

The fourth proportional to 7,610.70, 11,416.80 and 2,064.12 is: 3,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.70 : 11,416.80 = 2,064.12 : x
  2. Step 2: Convert to fraction form
    7,610.70/11,416.80 = 2,064.12/x
  3. Step 3: Cross multiply
    7,610.70x = 11,416.80 × 2,064.12
  4. Step 4: Simplify right side
    7,610.70x = 23,565,645.22
  5. Step 5: Solve for x
    x = 23,565,645.22/7,610.70
  6. Step 6: Final answer
    x = 3,096.38

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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.