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Finding the Fourth Proportional to 5,964.32, 8,222 and 4,190.32

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Solution

The fourth proportional to 5,964.32, 8,222 and 4,190.32 is: 5,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.32 : 8,222 = 4,190.32 : x
  2. Step 2: Convert to fraction form
    5,964.32/8,222 = 4,190.32/x
  3. Step 3: Cross multiply
    5,964.32x = 8,222 × 4,190.32
  4. Step 4: Simplify right side
    5,964.32x = 34,452,811.04
  5. Step 5: Solve for x
    x = 34,452,811.04/5,964.32
  6. Step 6: Final answer
    x = 5,776.49

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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.