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Finding the Fourth Proportional to 6,798.74, 9,382.36 and 3,814.40

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Solution

The fourth proportional to 6,798.74, 9,382.36 and 3,814.40 is: 5,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.74 : 9,382.36 = 3,814.40 : x
  2. Step 2: Convert to fraction form
    6,798.74/9,382.36 = 3,814.40/x
  3. Step 3: Cross multiply
    6,798.74x = 9,382.36 × 3,814.40
  4. Step 4: Simplify right side
    6,798.74x = 35,788,073.98
  5. Step 5: Solve for x
    x = 35,788,073.98/6,798.74
  6. Step 6: Final answer
    x = 5,263.93

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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.