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Finding the Fourth Proportional to 5,636.27, 7,784.73 and 4,226.13

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Solution

The fourth proportional to 5,636.27, 7,784.73 and 4,226.13 is: 5,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.27 : 7,784.73 = 4,226.13 : x
  2. Step 2: Convert to fraction form
    5,636.27/7,784.73 = 4,226.13/x
  3. Step 3: Cross multiply
    5,636.27x = 7,784.73 × 4,226.13
  4. Step 4: Simplify right side
    5,636.27x = 32,899,280.99
  5. Step 5: Solve for x
    x = 32,899,280.99/5,636.27
  6. Step 6: Final answer
    x = 5,837.06

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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.