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Finding the Fourth Proportional to 10,222, 15,335.70 and 3,296.68

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Solution

The fourth proportional to 10,222, 15,335.70 and 3,296.68 is: 4,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222 : 15,335.70 = 3,296.68 : x
  2. Step 2: Convert to fraction form
    10,222/15,335.70 = 3,296.68/x
  3. Step 3: Cross multiply
    10,222x = 15,335.70 × 3,296.68
  4. Step 4: Simplify right side
    10,222x = 50,556,895.48
  5. Step 5: Solve for x
    x = 50,556,895.48/10,222
  6. Step 6: Final answer
    x = 4,945.89

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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.