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Finding the Fourth Proportional to 6,824.03, 9,416.99 and 4,466.12

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Solution

The fourth proportional to 6,824.03, 9,416.99 and 4,466.12 is: 6,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.03 : 9,416.99 = 4,466.12 : x
  2. Step 2: Convert to fraction form
    6,824.03/9,416.99 = 4,466.12/x
  3. Step 3: Cross multiply
    6,824.03x = 9,416.99 × 4,466.12
  4. Step 4: Simplify right side
    6,824.03x = 42,057,371.46
  5. Step 5: Solve for x
    x = 42,057,371.46/6,824.03
  6. Step 6: Final answer
    x = 6,163.13

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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.