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Finding the Fourth Proportional to 6,089.49, 8,396.49 and 4,498.44

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Solution

The fourth proportional to 6,089.49, 8,396.49 and 4,498.44 is: 6,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.49 : 8,396.49 = 4,498.44 : x
  2. Step 2: Convert to fraction form
    6,089.49/8,396.49 = 4,498.44/x
  3. Step 3: Cross multiply
    6,089.49x = 8,396.49 × 4,498.44
  4. Step 4: Simplify right side
    6,089.49x = 37,771,106.48
  5. Step 5: Solve for x
    x = 37,771,106.48/6,089.49
  6. Step 6: Final answer
    x = 6,202.67

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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.