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Finding the Fourth Proportional to 7,645.76, 11,468.98 and 2,098.98

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Solution

The fourth proportional to 7,645.76, 11,468.98 and 2,098.98 is: 3,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.76 : 11,468.98 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    7,645.76/11,468.98 = 2,098.98/x
  3. Step 3: Cross multiply
    7,645.76x = 11,468.98 × 2,098.98
  4. Step 4: Simplify right side
    7,645.76x = 24,073,159.64
  5. Step 5: Solve for x
    x = 24,073,159.64/7,645.76
  6. Step 6: Final answer
    x = 3,148.56

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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.