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Finding the Fourth Proportional to 9,796.35, 13,509.63 and 6,441.99

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Solution

The fourth proportional to 9,796.35, 13,509.63 and 6,441.99 is: 8,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.35 : 13,509.63 = 6,441.99 : x
  2. Step 2: Convert to fraction form
    9,796.35/13,509.63 = 6,441.99/x
  3. Step 3: Cross multiply
    9,796.35x = 13,509.63 × 6,441.99
  4. Step 4: Simplify right side
    9,796.35x = 87,028,901.36
  5. Step 5: Solve for x
    x = 87,028,901.36/9,796.35
  6. Step 6: Final answer
    x = 8,883.81

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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.