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Finding the Fourth Proportional to 6,983.92, 10,477.72 and 4,059.72

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Solution

The fourth proportional to 6,983.92, 10,477.72 and 4,059.72 is: 6,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.92 : 10,477.72 = 4,059.72 : x
  2. Step 2: Convert to fraction form
    6,983.92/10,477.72 = 4,059.72/x
  3. Step 3: Cross multiply
    6,983.92x = 10,477.72 × 4,059.72
  4. Step 4: Simplify right side
    6,983.92x = 42,536,614.51
  5. Step 5: Solve for x
    x = 42,536,614.51/6,983.92
  6. Step 6: Final answer
    x = 6,090.65

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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.