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Finding the Fourth Proportional to 8,924.14, 13,381.20 and 3,657.70

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Solution

The fourth proportional to 8,924.14, 13,381.20 and 3,657.70 is: 5,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.14 : 13,381.20 = 3,657.70 : x
  2. Step 2: Convert to fraction form
    8,924.14/13,381.20 = 3,657.70/x
  3. Step 3: Cross multiply
    8,924.14x = 13,381.20 × 3,657.70
  4. Step 4: Simplify right side
    8,924.14x = 48,944,415.24
  5. Step 5: Solve for x
    x = 48,944,415.24/8,924.14
  6. Step 6: Final answer
    x = 5,484.50

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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.