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Finding the Fourth Proportional to 6,674.99, 10,013.63 and 2,977.14

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Solution

The fourth proportional to 6,674.99, 10,013.63 and 2,977.14 is: 4,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.99 : 10,013.63 = 2,977.14 : x
  2. Step 2: Convert to fraction form
    6,674.99/10,013.63 = 2,977.14/x
  3. Step 3: Cross multiply
    6,674.99x = 10,013.63 × 2,977.14
  4. Step 4: Simplify right side
    6,674.99x = 29,811,978.42
  5. Step 5: Solve for x
    x = 29,811,978.42/6,674.99
  6. Step 6: Final answer
    x = 4,466.22

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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.