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Finding the Fourth Proportional to 7,037.88, 9,712.27 and 3,894.27

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Solution

The fourth proportional to 7,037.88, 9,712.27 and 3,894.27 is: 5,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.88 : 9,712.27 = 3,894.27 : x
  2. Step 2: Convert to fraction form
    7,037.88/9,712.27 = 3,894.27/x
  3. Step 3: Cross multiply
    7,037.88x = 9,712.27 × 3,894.27
  4. Step 4: Simplify right side
    7,037.88x = 37,822,201.69
  5. Step 5: Solve for x
    x = 37,822,201.69/7,037.88
  6. Step 6: Final answer
    x = 5,374.09

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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.