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Finding the Fourth Proportional to 6,574.32, 9,861.69 and 2,192.22

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Solution

The fourth proportional to 6,574.32, 9,861.69 and 2,192.22 is: 3,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.32 : 9,861.69 = 2,192.22 : x
  2. Step 2: Convert to fraction form
    6,574.32/9,861.69 = 2,192.22/x
  3. Step 3: Cross multiply
    6,574.32x = 9,861.69 × 2,192.22
  4. Step 4: Simplify right side
    6,574.32x = 21,618,994.05
  5. Step 5: Solve for x
    x = 21,618,994.05/6,574.32
  6. Step 6: Final answer
    x = 3,288.40

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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.