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Finding the Fourth Proportional to 6,462.74, 9,696.16 and 2,952.60

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Solution

The fourth proportional to 6,462.74, 9,696.16 and 2,952.60 is: 4,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.74 : 9,696.16 = 2,952.60 : x
  2. Step 2: Convert to fraction form
    6,462.74/9,696.16 = 2,952.60/x
  3. Step 3: Cross multiply
    6,462.74x = 9,696.16 × 2,952.60
  4. Step 4: Simplify right side
    6,462.74x = 28,628,887.28
  5. Step 5: Solve for x
    x = 28,628,887.28/6,462.74
  6. Step 6: Final answer
    x = 4,429.84

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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.