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Finding the Fourth Proportional to 15,022.14, 22,513.77 and 7,984.86

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Solution

The fourth proportional to 15,022.14, 22,513.77 and 7,984.86 is: 11,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.14 : 22,513.77 = 7,984.86 : x
  2. Step 2: Convert to fraction form
    15,022.14/22,513.77 = 7,984.86/x
  3. Step 3: Cross multiply
    15,022.14x = 22,513.77 × 7,984.86
  4. Step 4: Simplify right side
    15,022.14x = 179,769,301.52
  5. Step 5: Solve for x
    x = 179,769,301.52/15,022.14
  6. Step 6: Final answer
    x = 11,966.96

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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.