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Finding the Fourth Proportional to 10,202, 15,305.70 and 3,276.68

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Solution

The fourth proportional to 10,202, 15,305.70 and 3,276.68 is: 4,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202 : 15,305.70 = 3,276.68 : x
  2. Step 2: Convert to fraction form
    10,202/15,305.70 = 3,276.68/x
  3. Step 3: Cross multiply
    10,202x = 15,305.70 × 3,276.68
  4. Step 4: Simplify right side
    10,202x = 50,151,881.08
  5. Step 5: Solve for x
    x = 50,151,881.08/10,202
  6. Step 6: Final answer
    x = 4,915.89

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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.