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Finding the Fourth Proportional to 9,800.46, 13,523.06 and 6,022.41

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Solution

The fourth proportional to 9,800.46, 13,523.06 and 6,022.41 is: 8,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.46 : 13,523.06 = 6,022.41 : x
  2. Step 2: Convert to fraction form
    9,800.46/13,523.06 = 6,022.41/x
  3. Step 3: Cross multiply
    9,800.46x = 13,523.06 × 6,022.41
  4. Step 4: Simplify right side
    9,800.46x = 81,441,381.66
  5. Step 5: Solve for x
    x = 81,441,381.66/9,800.46
  6. Step 6: Final answer
    x = 8,309.96

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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.