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Finding the Fourth Proportional to 6,074.66, 8,382.74 and 3,422.00

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Solution

The fourth proportional to 6,074.66, 8,382.74 and 3,422.00 is: 4,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.66 : 8,382.74 = 3,422.00 : x
  2. Step 2: Convert to fraction form
    6,074.66/8,382.74 = 3,422.00/x
  3. Step 3: Cross multiply
    6,074.66x = 8,382.74 × 3,422.00
  4. Step 4: Simplify right side
    6,074.66x = 28,685,677.26
  5. Step 5: Solve for x
    x = 28,685,677.26/6,074.66
  6. Step 6: Final answer
    x = 4,722.19

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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.