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Finding the Fourth Proportional to 6,984.36, 10,476.54 and 2,367

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Solution

The fourth proportional to 6,984.36, 10,476.54 and 2,367 is: 3,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.36 : 10,476.54 = 2,367 : x
  2. Step 2: Convert to fraction form
    6,984.36/10,476.54 = 2,367/x
  3. Step 3: Cross multiply
    6,984.36x = 10,476.54 × 2,367
  4. Step 4: Simplify right side
    6,984.36x = 24,797,970.18
  5. Step 5: Solve for x
    x = 24,797,970.18/6,984.36
  6. Step 6: Final answer
    x = 3,550.50

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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.