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Finding the Fourth Proportional to 15,190.86, 22,770.65 and 5,828.39

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Solution

The fourth proportional to 15,190.86, 22,770.65 and 5,828.39 is: 8,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,190.86 : 22,770.65 = 5,828.39 : x
  2. Step 2: Convert to fraction form
    15,190.86/22,770.65 = 5,828.39/x
  3. Step 3: Cross multiply
    15,190.86x = 22,770.65 × 5,828.39
  4. Step 4: Simplify right side
    15,190.86x = 132,716,129.47
  5. Step 5: Solve for x
    x = 132,716,129.47/15,190.86
  6. Step 6: Final answer
    x = 8,736.58

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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.