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Finding the Fourth Proportional to 9,795.50, 13,511.09 and 6,257.15

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Solution

The fourth proportional to 9,795.50, 13,511.09 and 6,257.15 is: 8,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.50 : 13,511.09 = 6,257.15 : x
  2. Step 2: Convert to fraction form
    9,795.50/13,511.09 = 6,257.15/x
  3. Step 3: Cross multiply
    9,795.50x = 13,511.09 × 6,257.15
  4. Step 4: Simplify right side
    9,795.50x = 84,540,817.95
  5. Step 5: Solve for x
    x = 84,540,817.95/9,795.50
  6. Step 6: Final answer
    x = 8,630.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.