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Finding the Fourth Proportional to 11,637, 17,323.87 and 11,567.80

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Solution

The fourth proportional to 11,637, 17,323.87 and 11,567.80 is: 17,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637 : 17,323.87 = 11,567.80 : x
  2. Step 2: Convert to fraction form
    11,637/17,323.87 = 11,567.80/x
  3. Step 3: Cross multiply
    11,637x = 17,323.87 × 11,567.80
  4. Step 4: Simplify right side
    11,637x = 200,399,063.39
  5. Step 5: Solve for x
    x = 200,399,063.39/11,637
  6. Step 6: Final answer
    x = 17,220.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.