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Finding the Fourth Proportional to 11,067.80, 16,587.30 and 9,829.40

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Solution

The fourth proportional to 11,067.80, 16,587.30 and 9,829.40 is: 14,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067.80 : 16,587.30 = 9,829.40 : x
  2. Step 2: Convert to fraction form
    11,067.80/16,587.30 = 9,829.40/x
  3. Step 3: Cross multiply
    11,067.80x = 16,587.30 × 9,829.40
  4. Step 4: Simplify right side
    11,067.80x = 163,043,206.62
  5. Step 5: Solve for x
    x = 163,043,206.62/11,067.80
  6. Step 6: Final answer
    x = 14,731.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.