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Finding the Fourth Proportional to 6,904.52, 10,356.90 and 2,287.64

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Solution

The fourth proportional to 6,904.52, 10,356.90 and 2,287.64 is: 3,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.52 : 10,356.90 = 2,287.64 : x
  2. Step 2: Convert to fraction form
    6,904.52/10,356.90 = 2,287.64/x
  3. Step 3: Cross multiply
    6,904.52x = 10,356.90 × 2,287.64
  4. Step 4: Simplify right side
    6,904.52x = 23,692,858.72
  5. Step 5: Solve for x
    x = 23,692,858.72/6,904.52
  6. Step 6: Final answer
    x = 3,431.50

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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.