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Finding the Fourth Proportional to 6,798.95, 9,382.50 and 3,814.78

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Solution

The fourth proportional to 6,798.95, 9,382.50 and 3,814.78 is: 5,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.95 : 9,382.50 = 3,814.78 : x
  2. Step 2: Convert to fraction form
    6,798.95/9,382.50 = 3,814.78/x
  3. Step 3: Cross multiply
    6,798.95x = 9,382.50 × 3,814.78
  4. Step 4: Simplify right side
    6,798.95x = 35,792,173.35
  5. Step 5: Solve for x
    x = 35,792,173.35/6,798.95
  6. Step 6: Final answer
    x = 5,264.37

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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.