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Finding the Fourth Proportional to 6,709.77, 10,068 and 3,014.64

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Solution

The fourth proportional to 6,709.77, 10,068 and 3,014.64 is: 4,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.77 : 10,068 = 3,014.64 : x
  2. Step 2: Convert to fraction form
    6,709.77/10,068 = 3,014.64/x
  3. Step 3: Cross multiply
    6,709.77x = 10,068 × 3,014.64
  4. Step 4: Simplify right side
    6,709.77x = 30,351,395.52
  5. Step 5: Solve for x
    x = 30,351,395.52/6,709.77
  6. Step 6: Final answer
    x = 4,523.46

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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.