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Finding the Fourth Proportional to 27,927.62, 41,882.54 and 9,204.16

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Solution

The fourth proportional to 27,927.62, 41,882.54 and 9,204.16 is: 13,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.62 : 41,882.54 = 9,204.16 : x
  2. Step 2: Convert to fraction form
    27,927.62/41,882.54 = 9,204.16/x
  3. Step 3: Cross multiply
    27,927.62x = 41,882.54 × 9,204.16
  4. Step 4: Simplify right side
    27,927.62x = 385,493,448.64
  5. Step 5: Solve for x
    x = 385,493,448.64/27,927.62
  6. Step 6: Final answer
    x = 13,803.30

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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.