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Finding the Fourth Proportional to 8,448.98, 11,659.64 and 4,672.20

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Solution

The fourth proportional to 8,448.98, 11,659.64 and 4,672.20 is: 6,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.98 : 11,659.64 = 4,672.20 : x
  2. Step 2: Convert to fraction form
    8,448.98/11,659.64 = 4,672.20/x
  3. Step 3: Cross multiply
    8,448.98x = 11,659.64 × 4,672.20
  4. Step 4: Simplify right side
    8,448.98x = 54,476,146.65
  5. Step 5: Solve for x
    x = 54,476,146.65/8,448.98
  6. Step 6: Final answer
    x = 6,447.66

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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.