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Finding the Fourth Proportional to 6,348, 9,522.60 and 1,731

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Solution

The fourth proportional to 6,348, 9,522.60 and 1,731 is: 2,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 9,522.60 = 1,731 : x
  2. Step 2: Convert to fraction form
    6,348/9,522.60 = 1,731/x
  3. Step 3: Cross multiply
    6,348x = 9,522.60 × 1,731
  4. Step 4: Simplify right side
    6,348x = 16,483,620.60
  5. Step 5: Solve for x
    x = 16,483,620.60/6,348
  6. Step 6: Final answer
    x = 2,596.66

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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.