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Finding the Fourth Proportional to 6,798.86, 9,382.43 and 3,814.62

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Solution

The fourth proportional to 6,798.86, 9,382.43 and 3,814.62 is: 5,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.86 : 9,382.43 = 3,814.62 : x
  2. Step 2: Convert to fraction form
    6,798.86/9,382.43 = 3,814.62/x
  3. Step 3: Cross multiply
    6,798.86x = 9,382.43 × 3,814.62
  4. Step 4: Simplify right side
    6,798.86x = 35,790,386.05
  5. Step 5: Solve for x
    x = 35,790,386.05/6,798.86
  6. Step 6: Final answer
    x = 5,264.18

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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.