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Finding the Fourth Proportional to 7,015.68, 9,680.96 and 3,871.68

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Solution

The fourth proportional to 7,015.68, 9,680.96 and 3,871.68 is: 5,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.68 : 9,680.96 = 3,871.68 : x
  2. Step 2: Convert to fraction form
    7,015.68/9,680.96 = 3,871.68/x
  3. Step 3: Cross multiply
    7,015.68x = 9,680.96 × 3,871.68
  4. Step 4: Simplify right side
    7,015.68x = 37,481,579.21
  5. Step 5: Solve for x
    x = 37,481,579.21/7,015.68
  6. Step 6: Final answer
    x = 5,342.54

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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.