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Finding the Fourth Proportional to 27,155.52, 40,713.84 and 11,564.64

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Solution

The fourth proportional to 27,155.52, 40,713.84 and 11,564.64 is: 17,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.52 : 40,713.84 = 11,564.64 : x
  2. Step 2: Convert to fraction form
    27,155.52/40,713.84 = 11,564.64/x
  3. Step 3: Cross multiply
    27,155.52x = 40,713.84 × 11,564.64
  4. Step 4: Simplify right side
    27,155.52x = 470,840,902.62
  5. Step 5: Solve for x
    x = 470,840,902.62/27,155.52
  6. Step 6: Final answer
    x = 17,338.68

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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.