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Finding the Fourth Proportional to 9,797.28, 13,520.13 and 5,321.10

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Solution

The fourth proportional to 9,797.28, 13,520.13 and 5,321.10 is: 7,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.28 : 13,520.13 = 5,321.10 : x
  2. Step 2: Convert to fraction form
    9,797.28/13,520.13 = 5,321.10/x
  3. Step 3: Cross multiply
    9,797.28x = 13,520.13 × 5,321.10
  4. Step 4: Simplify right side
    9,797.28x = 71,941,963.74
  5. Step 5: Solve for x
    x = 71,941,963.74/9,797.28
  6. Step 6: Final answer
    x = 7,343.05

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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.