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Finding the Fourth Proportional to 22,556.66, 33,839.31 and 7,762.10

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Solution

The fourth proportional to 22,556.66, 33,839.31 and 7,762.10 is: 11,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,556.66 : 33,839.31 = 7,762.10 : x
  2. Step 2: Convert to fraction form
    22,556.66/33,839.31 = 7,762.10/x
  3. Step 3: Cross multiply
    22,556.66x = 33,839.31 × 7,762.10
  4. Step 4: Simplify right side
    22,556.66x = 262,664,108.15
  5. Step 5: Solve for x
    x = 262,664,108.15/22,556.66
  6. Step 6: Final answer
    x = 11,644.64

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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.