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Finding the Fourth Proportional to 9,797.69, 13,523.15 and 6,023.30

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Solution

The fourth proportional to 9,797.69, 13,523.15 and 6,023.30 is: 8,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.69 : 13,523.15 = 6,023.30 : x
  2. Step 2: Convert to fraction form
    9,797.69/13,523.15 = 6,023.30/x
  3. Step 3: Cross multiply
    9,797.69x = 13,523.15 × 6,023.30
  4. Step 4: Simplify right side
    9,797.69x = 81,453,936.84
  5. Step 5: Solve for x
    x = 81,453,936.84/9,797.69
  6. Step 6: Final answer
    x = 8,313.58

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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.