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Finding the Fourth Proportional to 11,584.48, 15,972.24 and 7,852

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Solution

The fourth proportional to 11,584.48, 15,972.24 and 7,852 is: 10,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.48 : 15,972.24 = 7,852 : x
  2. Step 2: Convert to fraction form
    11,584.48/15,972.24 = 7,852/x
  3. Step 3: Cross multiply
    11,584.48x = 15,972.24 × 7,852
  4. Step 4: Simplify right side
    11,584.48x = 125,414,028.48
  5. Step 5: Solve for x
    x = 125,414,028.48/11,584.48
  6. Step 6: Final answer
    x = 10,826.04

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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.