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Finding the Fourth Proportional to 10,396.64, 14,348.99 and 6,621.46

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Solution

The fourth proportional to 10,396.64, 14,348.99 and 6,621.46 is: 9,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.64 : 14,348.99 = 6,621.46 : x
  2. Step 2: Convert to fraction form
    10,396.64/14,348.99 = 6,621.46/x
  3. Step 3: Cross multiply
    10,396.64x = 14,348.99 × 6,621.46
  4. Step 4: Simplify right side
    10,396.64x = 95,011,263.33
  5. Step 5: Solve for x
    x = 95,011,263.33/10,396.64
  6. Step 6: Final answer
    x = 9,138.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.