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Finding the Fourth Proportional to 11,448.68, 15,797.04 and 6,731.24

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Solution

The fourth proportional to 11,448.68, 15,797.04 and 6,731.24 is: 9,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.68 : 15,797.04 = 6,731.24 : x
  2. Step 2: Convert to fraction form
    11,448.68/15,797.04 = 6,731.24/x
  3. Step 3: Cross multiply
    11,448.68x = 15,797.04 × 6,731.24
  4. Step 4: Simplify right side
    11,448.68x = 106,333,667.53
  5. Step 5: Solve for x
    x = 106,333,667.53/11,448.68
  6. Step 6: Final answer
    x = 9,287.85

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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.