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Finding the Fourth Proportional to 22,234.10, 33,362.64 and 9,762.88

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Solution

The fourth proportional to 22,234.10, 33,362.64 and 9,762.88 is: 14,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.10 : 33,362.64 = 9,762.88 : x
  2. Step 2: Convert to fraction form
    22,234.10/33,362.64 = 9,762.88/x
  3. Step 3: Cross multiply
    22,234.10x = 33,362.64 × 9,762.88
  4. Step 4: Simplify right side
    22,234.10x = 325,715,283.99
  5. Step 5: Solve for x
    x = 325,715,283.99/22,234.10
  6. Step 6: Final answer
    x = 14,649.36

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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.