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Finding the Fourth Proportional to 7,037, 9,710.22 and 3,892.76

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Solution

The fourth proportional to 7,037, 9,710.22 and 3,892.76 is: 5,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037 : 9,710.22 = 3,892.76 : x
  2. Step 2: Convert to fraction form
    7,037/9,710.22 = 3,892.76/x
  3. Step 3: Cross multiply
    7,037x = 9,710.22 × 3,892.76
  4. Step 4: Simplify right side
    7,037x = 37,799,556.01
  5. Step 5: Solve for x
    x = 37,799,556.01/7,037
  6. Step 6: Final answer
    x = 5,371.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.