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Finding the Fourth Proportional to 10,975, 15,145.56 and 6,007

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Solution

The fourth proportional to 10,975, 15,145.56 and 6,007 is: 8,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975 : 15,145.56 = 6,007 : x
  2. Step 2: Convert to fraction form
    10,975/15,145.56 = 6,007/x
  3. Step 3: Cross multiply
    10,975x = 15,145.56 × 6,007
  4. Step 4: Simplify right side
    10,975x = 90,979,378.92
  5. Step 5: Solve for x
    x = 90,979,378.92/10,975
  6. Step 6: Final answer
    x = 8,289.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.