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Finding the Fourth Proportional to 9,797.36, 13,520.13 and 5,321.07

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Solution

The fourth proportional to 9,797.36, 13,520.13 and 5,321.07 is: 7,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.36 : 13,520.13 = 5,321.07 : x
  2. Step 2: Convert to fraction form
    9,797.36/13,520.13 = 5,321.07/x
  3. Step 3: Cross multiply
    9,797.36x = 13,520.13 × 5,321.07
  4. Step 4: Simplify right side
    9,797.36x = 71,941,558.14
  5. Step 5: Solve for x
    x = 71,941,558.14/9,797.36
  6. Step 6: Final answer
    x = 7,342.96

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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.