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Finding the Fourth Proportional to 6,461, 9,695 and 5,003

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Solution

The fourth proportional to 6,461, 9,695 and 5,003 is: 7,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461 : 9,695 = 5,003 : x
  2. Step 2: Convert to fraction form
    6,461/9,695 = 5,003/x
  3. Step 3: Cross multiply
    6,461x = 9,695 × 5,003
  4. Step 4: Simplify right side
    6,461x = 48,504,085
  5. Step 5: Solve for x
    x = 48,504,085/6,461
  6. Step 6: Final answer
    x = 7,507.21

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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.