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Finding the Fourth Proportional to 10,229, 15,346.20 and 3,303.68

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Solution

The fourth proportional to 10,229, 15,346.20 and 3,303.68 is: 4,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229 : 15,346.20 = 3,303.68 : x
  2. Step 2: Convert to fraction form
    10,229/15,346.20 = 3,303.68/x
  3. Step 3: Cross multiply
    10,229x = 15,346.20 × 3,303.68
  4. Step 4: Simplify right side
    10,229x = 50,698,934.02
  5. Step 5: Solve for x
    x = 50,698,934.02/10,229
  6. Step 6: Final answer
    x = 4,956.39

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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.