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Finding the Fourth Proportional to 9,848.71, 14,773.10 and 2,453.15

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Solution

The fourth proportional to 9,848.71, 14,773.10 and 2,453.15 is: 3,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.71 : 14,773.10 = 2,453.15 : x
  2. Step 2: Convert to fraction form
    9,848.71/14,773.10 = 2,453.15/x
  3. Step 3: Cross multiply
    9,848.71x = 14,773.10 × 2,453.15
  4. Step 4: Simplify right side
    9,848.71x = 36,240,654.93
  5. Step 5: Solve for x
    x = 36,240,654.93/9,848.71
  6. Step 6: Final answer
    x = 3,679.74

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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.