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Finding the Fourth Proportional to 6,700.28, 10,047 and 3,927.84

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Solution

The fourth proportional to 6,700.28, 10,047 and 3,927.84 is: 5,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.28 : 10,047 = 3,927.84 : x
  2. Step 2: Convert to fraction form
    6,700.28/10,047 = 3,927.84/x
  3. Step 3: Cross multiply
    6,700.28x = 10,047 × 3,927.84
  4. Step 4: Simplify right side
    6,700.28x = 39,463,008.48
  5. Step 5: Solve for x
    x = 39,463,008.48/6,700.28
  6. Step 6: Final answer
    x = 5,889.76

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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.