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Finding the Fourth Proportional to 9,896.82, 13,657.63 and 5,359.55

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Solution

The fourth proportional to 9,896.82, 13,657.63 and 5,359.55 is: 7,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.82 : 13,657.63 = 5,359.55 : x
  2. Step 2: Convert to fraction form
    9,896.82/13,657.63 = 5,359.55/x
  3. Step 3: Cross multiply
    9,896.82x = 13,657.63 × 5,359.55
  4. Step 4: Simplify right side
    9,896.82x = 73,198,750.87
  5. Step 5: Solve for x
    x = 73,198,750.87/9,896.82
  6. Step 6: Final answer
    x = 7,396.19

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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.