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Finding the Fourth Proportional to 6,818.99, 10,213.63 and 4,178.50

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Solution

The fourth proportional to 6,818.99, 10,213.63 and 4,178.50 is: 6,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.99 : 10,213.63 = 4,178.50 : x
  2. Step 2: Convert to fraction form
    6,818.99/10,213.63 = 4,178.50/x
  3. Step 3: Cross multiply
    6,818.99x = 10,213.63 × 4,178.50
  4. Step 4: Simplify right side
    6,818.99x = 42,677,709.56
  5. Step 5: Solve for x
    x = 42,677,709.56/6,818.99
  6. Step 6: Final answer
    x = 6,258.66

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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.