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Finding the Fourth Proportional to 7,822.42, 10,792.22 and 4,462.80

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Solution

The fourth proportional to 7,822.42, 10,792.22 and 4,462.80 is: 6,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.42 : 10,792.22 = 4,462.80 : x
  2. Step 2: Convert to fraction form
    7,822.42/10,792.22 = 4,462.80/x
  3. Step 3: Cross multiply
    7,822.42x = 10,792.22 × 4,462.80
  4. Step 4: Simplify right side
    7,822.42x = 48,163,519.42
  5. Step 5: Solve for x
    x = 48,163,519.42/7,822.42
  6. Step 6: Final answer
    x = 6,157.11

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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.