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Finding the Fourth Proportional to 9,750.28, 14,622.36 and 3,175

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Solution

The fourth proportional to 9,750.28, 14,622.36 and 3,175 is: 4,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.28 : 14,622.36 = 3,175 : x
  2. Step 2: Convert to fraction form
    9,750.28/14,622.36 = 3,175/x
  3. Step 3: Cross multiply
    9,750.28x = 14,622.36 × 3,175
  4. Step 4: Simplify right side
    9,750.28x = 46,425,993
  5. Step 5: Solve for x
    x = 46,425,993/9,750.28
  6. Step 6: Final answer
    x = 4,761.50

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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.