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Finding the Fourth Proportional to 7,722, 10,656.36 and 4,185.20

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Solution

The fourth proportional to 7,722, 10,656.36 and 4,185.20 is: 5,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 10,656.36 = 4,185.20 : x
  2. Step 2: Convert to fraction form
    7,722/10,656.36 = 4,185.20/x
  3. Step 3: Cross multiply
    7,722x = 10,656.36 × 4,185.20
  4. Step 4: Simplify right side
    7,722x = 44,598,997.87
  5. Step 5: Solve for x
    x = 44,598,997.87/7,722
  6. Step 6: Final answer
    x = 5,775.58

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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.