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Finding the Fourth Proportional to 4,715, 7,072.50 and 1,637

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Solution

The fourth proportional to 4,715, 7,072.50 and 1,637 is: 2,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715 : 7,072.50 = 1,637 : x
  2. Step 2: Convert to fraction form
    4,715/7,072.50 = 1,637/x
  3. Step 3: Cross multiply
    4,715x = 7,072.50 × 1,637
  4. Step 4: Simplify right side
    4,715x = 11,577,682.50
  5. Step 5: Solve for x
    x = 11,577,682.50/4,715
  6. Step 6: Final answer
    x = 2,455.50

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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.