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Finding the Fourth Proportional to 9,878.56, 14,816.28 and 2,951.44

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Solution

The fourth proportional to 9,878.56, 14,816.28 and 2,951.44 is: 4,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.56 : 14,816.28 = 2,951.44 : x
  2. Step 2: Convert to fraction form
    9,878.56/14,816.28 = 2,951.44/x
  3. Step 3: Cross multiply
    9,878.56x = 14,816.28 × 2,951.44
  4. Step 4: Simplify right side
    9,878.56x = 43,729,361.44
  5. Step 5: Solve for x
    x = 43,729,361.44/9,878.56
  6. Step 6: Final answer
    x = 4,426.69

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1.5x scale

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.