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Finding the Fourth Proportional to 9,798.29, 13,522.11 and 6,021.62

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Solution

The fourth proportional to 9,798.29, 13,522.11 and 6,021.62 is: 8,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.29 : 13,522.11 = 6,021.62 : x
  2. Step 2: Convert to fraction form
    9,798.29/13,522.11 = 6,021.62/x
  3. Step 3: Cross multiply
    9,798.29x = 13,522.11 × 6,021.62
  4. Step 4: Simplify right side
    9,798.29x = 81,424,940.41
  5. Step 5: Solve for x
    x = 81,424,940.41/9,798.29
  6. Step 6: Final answer
    x = 8,310.12

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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.