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Finding the Fourth Proportional to 6,008.67, 8,231.74 and 5,784.06

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Solution

The fourth proportional to 6,008.67, 8,231.74 and 5,784.06 is: 7,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008.67 : 8,231.74 = 5,784.06 : x
  2. Step 2: Convert to fraction form
    6,008.67/8,231.74 = 5,784.06/x
  3. Step 3: Cross multiply
    6,008.67x = 8,231.74 × 5,784.06
  4. Step 4: Simplify right side
    6,008.67x = 47,612,807.99
  5. Step 5: Solve for x
    x = 47,612,807.99/6,008.67
  6. Step 6: Final answer
    x = 7,924.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.