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Finding the Fourth Proportional to 27,526.52, 41,289.78 and 11,099

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Solution

The fourth proportional to 27,526.52, 41,289.78 and 11,099 is: 16,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526.52 : 41,289.78 = 11,099 : x
  2. Step 2: Convert to fraction form
    27,526.52/41,289.78 = 11,099/x
  3. Step 3: Cross multiply
    27,526.52x = 41,289.78 × 11,099
  4. Step 4: Simplify right side
    27,526.52x = 458,275,268.22
  5. Step 5: Solve for x
    x = 458,275,268.22/27,526.52
  6. Step 6: Final answer
    x = 16,648.50

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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.