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Finding the Fourth Proportional to 4,747, 7,120.50 and 1,669

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Solution

The fourth proportional to 4,747, 7,120.50 and 1,669 is: 2,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747 : 7,120.50 = 1,669 : x
  2. Step 2: Convert to fraction form
    4,747/7,120.50 = 1,669/x
  3. Step 3: Cross multiply
    4,747x = 7,120.50 × 1,669
  4. Step 4: Simplify right side
    4,747x = 11,884,114.50
  5. Step 5: Solve for x
    x = 11,884,114.50/4,747
  6. Step 6: Final answer
    x = 2,503.50

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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.