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Finding the Fourth Proportional to 10,786.68, 16,180.02 and 7,503.48

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Solution

The fourth proportional to 10,786.68, 16,180.02 and 7,503.48 is: 11,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.68 : 16,180.02 = 7,503.48 : x
  2. Step 2: Convert to fraction form
    10,786.68/16,180.02 = 7,503.48/x
  3. Step 3: Cross multiply
    10,786.68x = 16,180.02 × 7,503.48
  4. Step 4: Simplify right side
    10,786.68x = 121,406,456.47
  5. Step 5: Solve for x
    x = 121,406,456.47/10,786.68
  6. Step 6: Final answer
    x = 11,255.22

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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.