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Finding the Fourth Proportional to 9,217, 13,825.50 and 6,498.28

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Solution

The fourth proportional to 9,217, 13,825.50 and 6,498.28 is: 9,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217 : 13,825.50 = 6,498.28 : x
  2. Step 2: Convert to fraction form
    9,217/13,825.50 = 6,498.28/x
  3. Step 3: Cross multiply
    9,217x = 13,825.50 × 6,498.28
  4. Step 4: Simplify right side
    9,217x = 89,841,970.14
  5. Step 5: Solve for x
    x = 89,841,970.14/9,217
  6. Step 6: Final answer
    x = 9,747.42

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Similar ratio
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1.5x scale

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.