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Finding the Fourth Proportional to 5,496.81, 8,215.03 and 4,019.14

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Solution

The fourth proportional to 5,496.81, 8,215.03 and 4,019.14 is: 6,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.81 : 8,215.03 = 4,019.14 : x
  2. Step 2: Convert to fraction form
    5,496.81/8,215.03 = 4,019.14/x
  3. Step 3: Cross multiply
    5,496.81x = 8,215.03 × 4,019.14
  4. Step 4: Simplify right side
    5,496.81x = 33,017,294.50
  5. Step 5: Solve for x
    x = 33,017,294.50/5,496.81
  6. Step 6: Final answer
    x = 6,006.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.