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Finding the Fourth Proportional to 7,656.75, 10,566.32 and 4,344.75

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Solution

The fourth proportional to 7,656.75, 10,566.32 and 4,344.75 is: 5,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.75 : 10,566.32 = 4,344.75 : x
  2. Step 2: Convert to fraction form
    7,656.75/10,566.32 = 4,344.75/x
  3. Step 3: Cross multiply
    7,656.75x = 10,566.32 × 4,344.75
  4. Step 4: Simplify right side
    7,656.75x = 45,907,997.10
  5. Step 5: Solve for x
    x = 45,907,997.10/7,656.75
  6. Step 6: Final answer
    x = 5,995.76

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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.