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Finding the Fourth Proportional to 5,813, 8,025.60 and 4,484.24

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Solution

The fourth proportional to 5,813, 8,025.60 and 4,484.24 is: 6,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813 : 8,025.60 = 4,484.24 : x
  2. Step 2: Convert to fraction form
    5,813/8,025.60 = 4,484.24/x
  3. Step 3: Cross multiply
    5,813x = 8,025.60 × 4,484.24
  4. Step 4: Simplify right side
    5,813x = 35,988,716.54
  5. Step 5: Solve for x
    x = 35,988,716.54/5,813
  6. Step 6: Final answer
    x = 6,191.07

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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.