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Finding the Fourth Proportional to 5,202.27, 7,807.05 and 4,113.63

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Solution

The fourth proportional to 5,202.27, 7,807.05 and 4,113.63 is: 6,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.27 : 7,807.05 = 4,113.63 : x
  2. Step 2: Convert to fraction form
    5,202.27/7,807.05 = 4,113.63/x
  3. Step 3: Cross multiply
    5,202.27x = 7,807.05 × 4,113.63
  4. Step 4: Simplify right side
    5,202.27x = 32,115,315.09
  5. Step 5: Solve for x
    x = 32,115,315.09/5,202.27
  6. Step 6: Final answer
    x = 6,173.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.