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Finding the Fourth Proportional to 9,797.81, 13,523.18 and 6,024.25

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Solution

The fourth proportional to 9,797.81, 13,523.18 and 6,024.25 is: 8,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.81 : 13,523.18 = 6,024.25 : x
  2. Step 2: Convert to fraction form
    9,797.81/13,523.18 = 6,024.25/x
  3. Step 3: Cross multiply
    9,797.81x = 13,523.18 × 6,024.25
  4. Step 4: Simplify right side
    9,797.81x = 81,466,982.81
  5. Step 5: Solve for x
    x = 81,466,982.81/9,797.81
  6. Step 6: Final answer
    x = 8,314.82

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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.