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Finding the Fourth Proportional to 9,896.53, 13,650.64 and 6,364.21

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Solution

The fourth proportional to 9,896.53, 13,650.64 and 6,364.21 is: 8,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.53 : 13,650.64 = 6,364.21 : x
  2. Step 2: Convert to fraction form
    9,896.53/13,650.64 = 6,364.21/x
  3. Step 3: Cross multiply
    9,896.53x = 13,650.64 × 6,364.21
  4. Step 4: Simplify right side
    9,896.53x = 86,875,539.59
  5. Step 5: Solve for x
    x = 86,875,539.59/9,896.53
  6. Step 6: Final answer
    x = 8,778.38

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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.