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Finding the Fourth Proportional to 6,469.86, 9,696.01 and 2,955.51

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Solution

The fourth proportional to 6,469.86, 9,696.01 and 2,955.51 is: 4,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.86 : 9,696.01 = 2,955.51 : x
  2. Step 2: Convert to fraction form
    6,469.86/9,696.01 = 2,955.51/x
  3. Step 3: Cross multiply
    6,469.86x = 9,696.01 × 2,955.51
  4. Step 4: Simplify right side
    6,469.86x = 28,656,654.52
  5. Step 5: Solve for x
    x = 28,656,654.52/6,469.86
  6. Step 6: Final answer
    x = 4,429.25

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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.