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Finding the Fourth Proportional to 27,684.78, 41,525.71 and 7,962.56

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Solution

The fourth proportional to 27,684.78, 41,525.71 and 7,962.56 is: 11,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.78 : 41,525.71 = 7,962.56 : x
  2. Step 2: Convert to fraction form
    27,684.78/41,525.71 = 7,962.56/x
  3. Step 3: Cross multiply
    27,684.78x = 41,525.71 × 7,962.56
  4. Step 4: Simplify right side
    27,684.78x = 330,650,957.42
  5. Step 5: Solve for x
    x = 330,650,957.42/27,684.78
  6. Step 6: Final answer
    x = 11,943.42

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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.