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Finding the Fourth Proportional to 6,369, 9,554.86 and 2,473.40

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Solution

The fourth proportional to 6,369, 9,554.86 and 2,473.40 is: 3,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369 : 9,554.86 = 2,473.40 : x
  2. Step 2: Convert to fraction form
    6,369/9,554.86 = 2,473.40/x
  3. Step 3: Cross multiply
    6,369x = 9,554.86 × 2,473.40
  4. Step 4: Simplify right side
    6,369x = 23,632,990.72
  5. Step 5: Solve for x
    x = 23,632,990.72/6,369
  6. Step 6: Final answer
    x = 3,710.63

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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.