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Finding the Fourth Proportional to 11,642.52, 16,067.04 and 6,337.69

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Solution

The fourth proportional to 11,642.52, 16,067.04 and 6,337.69 is: 8,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.52 : 16,067.04 = 6,337.69 : x
  2. Step 2: Convert to fraction form
    11,642.52/16,067.04 = 6,337.69/x
  3. Step 3: Cross multiply
    11,642.52x = 16,067.04 × 6,337.69
  4. Step 4: Simplify right side
    11,642.52x = 101,827,918.74
  5. Step 5: Solve for x
    x = 101,827,918.74/11,642.52
  6. Step 6: Final answer
    x = 8,746.21

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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.