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Finding the Fourth Proportional to 6,975.01, 10,463.64 and 2,293.66

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Solution

The fourth proportional to 6,975.01, 10,463.64 and 2,293.66 is: 3,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.01 : 10,463.64 = 2,293.66 : x
  2. Step 2: Convert to fraction form
    6,975.01/10,463.64 = 2,293.66/x
  3. Step 3: Cross multiply
    6,975.01x = 10,463.64 × 2,293.66
  4. Step 4: Simplify right side
    6,975.01x = 24,000,032.52
  5. Step 5: Solve for x
    x = 24,000,032.52/6,975.01
  6. Step 6: Final answer
    x = 3,440.86

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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.