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Finding the Fourth Proportional to 6,352.88, 9,531 and 1,970.48

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Solution

The fourth proportional to 6,352.88, 9,531 and 1,970.48 is: 2,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.88 : 9,531 = 1,970.48 : x
  2. Step 2: Convert to fraction form
    6,352.88/9,531 = 1,970.48/x
  3. Step 3: Cross multiply
    6,352.88x = 9,531 × 1,970.48
  4. Step 4: Simplify right side
    6,352.88x = 18,780,644.88
  5. Step 5: Solve for x
    x = 18,780,644.88/6,352.88
  6. Step 6: Final answer
    x = 2,956.24

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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.