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Finding the Fourth Proportional to 11,448.88, 15,797.09 and 8,267.00

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Solution

The fourth proportional to 11,448.88, 15,797.09 and 8,267.00 is: 11,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.88 : 15,797.09 = 8,267.00 : x
  2. Step 2: Convert to fraction form
    11,448.88/15,797.09 = 8,267.00/x
  3. Step 3: Cross multiply
    11,448.88x = 15,797.09 × 8,267.00
  4. Step 4: Simplify right side
    11,448.88x = 130,594,484.71
  5. Step 5: Solve for x
    x = 130,594,484.71/11,448.88
  6. Step 6: Final answer
    x = 11,406.75

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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.