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Finding the Fourth Proportional to 9,797.32, 13,520.22 and 5,321.06

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Solution

The fourth proportional to 9,797.32, 13,520.22 and 5,321.06 is: 7,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.32 : 13,520.22 = 5,321.06 : x
  2. Step 2: Convert to fraction form
    9,797.32/13,520.22 = 5,321.06/x
  3. Step 3: Cross multiply
    9,797.32x = 13,520.22 × 5,321.06
  4. Step 4: Simplify right side
    9,797.32x = 71,941,864.98
  5. Step 5: Solve for x
    x = 71,941,864.98/9,797.32
  6. Step 6: Final answer
    x = 7,343.01

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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.