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Finding the Fourth Proportional to 27,888.85, 41,824.40 and 9,164.53

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Solution

The fourth proportional to 27,888.85, 41,824.40 and 9,164.53 is: 13,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.85 : 41,824.40 = 9,164.53 : x
  2. Step 2: Convert to fraction form
    27,888.85/41,824.40 = 9,164.53/x
  3. Step 3: Cross multiply
    27,888.85x = 41,824.40 × 9,164.53
  4. Step 4: Simplify right side
    27,888.85x = 383,300,818.15
  5. Step 5: Solve for x
    x = 383,300,818.15/27,888.85
  6. Step 6: Final answer
    x = 13,743.87

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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.