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Finding the Fourth Proportional to 12,848.16, 19,269.04 and 6,270.88

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Solution

The fourth proportional to 12,848.16, 19,269.04 and 6,270.88 is: 9,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.16 : 19,269.04 = 6,270.88 : x
  2. Step 2: Convert to fraction form
    12,848.16/19,269.04 = 6,270.88/x
  3. Step 3: Cross multiply
    12,848.16x = 19,269.04 × 6,270.88
  4. Step 4: Simplify right side
    12,848.16x = 120,833,837.56
  5. Step 5: Solve for x
    x = 120,833,837.56/12,848.16
  6. Step 6: Final answer
    x = 9,404.76

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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.