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Finding the Fourth Proportional to 8,274.94, 12,382.68 and 6,078.22

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Solution

The fourth proportional to 8,274.94, 12,382.68 and 6,078.22 is: 9,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.94 : 12,382.68 = 6,078.22 : x
  2. Step 2: Convert to fraction form
    8,274.94/12,382.68 = 6,078.22/x
  3. Step 3: Cross multiply
    8,274.94x = 12,382.68 × 6,078.22
  4. Step 4: Simplify right side
    8,274.94x = 75,264,653.23
  5. Step 5: Solve for x
    x = 75,264,653.23/8,274.94
  6. Step 6: Final answer
    x = 9,095.49

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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.