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Finding the Fourth Proportional to 27,888.67, 41,824.13 and 9,164.39

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Solution

The fourth proportional to 27,888.67, 41,824.13 and 9,164.39 is: 13,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.67 : 41,824.13 = 9,164.39 : x
  2. Step 2: Convert to fraction form
    27,888.67/41,824.13 = 9,164.39/x
  3. Step 3: Cross multiply
    27,888.67x = 41,824.13 × 9,164.39
  4. Step 4: Simplify right side
    27,888.67x = 383,292,638.73
  5. Step 5: Solve for x
    x = 383,292,638.73/27,888.67
  6. Step 6: Final answer
    x = 13,743.67

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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.