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Finding the Fourth Proportional to 10,291.56, 15,346.98 and 10,198.02

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Solution

The fourth proportional to 10,291.56, 15,346.98 and 10,198.02 is: 15,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.56 : 15,346.98 = 10,198.02 : x
  2. Step 2: Convert to fraction form
    10,291.56/15,346.98 = 10,198.02/x
  3. Step 3: Cross multiply
    10,291.56x = 15,346.98 × 10,198.02
  4. Step 4: Simplify right side
    10,291.56x = 156,508,808.98
  5. Step 5: Solve for x
    x = 156,508,808.98/10,291.56
  6. Step 6: Final answer
    x = 15,207.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.