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Finding the Fourth Proportional to 6,952.96, 10,404.60 and 6,039.28

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Solution

The fourth proportional to 6,952.96, 10,404.60 and 6,039.28 is: 9,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.96 : 10,404.60 = 6,039.28 : x
  2. Step 2: Convert to fraction form
    6,952.96/10,404.60 = 6,039.28/x
  3. Step 3: Cross multiply
    6,952.96x = 10,404.60 × 6,039.28
  4. Step 4: Simplify right side
    6,952.96x = 62,836,292.69
  5. Step 5: Solve for x
    x = 62,836,292.69/6,952.96
  6. Step 6: Final answer
    x = 9,037.34

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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.