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Finding the Fourth Proportional to 6,978.16, 10,463.46 and 2,297.08

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Solution

The fourth proportional to 6,978.16, 10,463.46 and 2,297.08 is: 3,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.16 : 10,463.46 = 2,297.08 : x
  2. Step 2: Convert to fraction form
    6,978.16/10,463.46 = 2,297.08/x
  3. Step 3: Cross multiply
    6,978.16x = 10,463.46 × 2,297.08
  4. Step 4: Simplify right side
    6,978.16x = 24,035,404.70
  5. Step 5: Solve for x
    x = 24,035,404.70/6,978.16
  6. Step 6: Final answer
    x = 3,444.38

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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.