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Finding the Fourth Proportional to 7,043.73, 9,719.97 and 3,856.41

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Solution

The fourth proportional to 7,043.73, 9,719.97 and 3,856.41 is: 5,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.73 : 9,719.97 = 3,856.41 : x
  2. Step 2: Convert to fraction form
    7,043.73/9,719.97 = 3,856.41/x
  3. Step 3: Cross multiply
    7,043.73x = 9,719.97 × 3,856.41
  4. Step 4: Simplify right side
    7,043.73x = 37,484,189.51
  5. Step 5: Solve for x
    x = 37,484,189.51/7,043.73
  6. Step 6: Final answer
    x = 5,321.64

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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.