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Finding the Fourth Proportional to 6,231.28, 8,580.16 and 5,834.64

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Solution

The fourth proportional to 6,231.28, 8,580.16 and 5,834.64 is: 8,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.28 : 8,580.16 = 5,834.64 : x
  2. Step 2: Convert to fraction form
    6,231.28/8,580.16 = 5,834.64/x
  3. Step 3: Cross multiply
    6,231.28x = 8,580.16 × 5,834.64
  4. Step 4: Simplify right side
    6,231.28x = 50,062,144.74
  5. Step 5: Solve for x
    x = 50,062,144.74/6,231.28
  6. Step 6: Final answer
    x = 8,034.01

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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.