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Finding the Fourth Proportional to 6,978.51, 9,630.36 and 3,834.90

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Solution

The fourth proportional to 6,978.51, 9,630.36 and 3,834.90 is: 5,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.51 : 9,630.36 = 3,834.90 : x
  2. Step 2: Convert to fraction form
    6,978.51/9,630.36 = 3,834.90/x
  3. Step 3: Cross multiply
    6,978.51x = 9,630.36 × 3,834.90
  4. Step 4: Simplify right side
    6,978.51x = 36,931,467.56
  5. Step 5: Solve for x
    x = 36,931,467.56/6,978.51
  6. Step 6: Final answer
    x = 5,292.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.