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Finding the Fourth Proportional to 6,896.51, 10,342.93 and 3,000

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Solution

The fourth proportional to 6,896.51, 10,342.93 and 3,000 is: 4,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.51 : 10,342.93 = 3,000 : x
  2. Step 2: Convert to fraction form
    6,896.51/10,342.93 = 3,000/x
  3. Step 3: Cross multiply
    6,896.51x = 10,342.93 × 3,000
  4. Step 4: Simplify right side
    6,896.51x = 31,028,790
  5. Step 5: Solve for x
    x = 31,028,790/6,896.51
  6. Step 6: Final answer
    x = 4,499.20

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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.