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Finding the Fourth Proportional to 7,754.64, 11,617.32 and 6,002.64

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Solution

The fourth proportional to 7,754.64, 11,617.32 and 6,002.64 is: 8,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.64 : 11,617.32 = 6,002.64 : x
  2. Step 2: Convert to fraction form
    7,754.64/11,617.32 = 6,002.64/x
  3. Step 3: Cross multiply
    7,754.64x = 11,617.32 × 6,002.64
  4. Step 4: Simplify right side
    7,754.64x = 69,734,589.72
  5. Step 5: Solve for x
    x = 69,734,589.72/7,754.64
  6. Step 6: Final answer
    x = 8,992.63

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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.