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Finding the Fourth Proportional to 6,798.36, 9,381.87 and 3,814.50

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Solution

The fourth proportional to 6,798.36, 9,381.87 and 3,814.50 is: 5,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.36 : 9,381.87 = 3,814.50 : x
  2. Step 2: Convert to fraction form
    6,798.36/9,381.87 = 3,814.50/x
  3. Step 3: Cross multiply
    6,798.36x = 9,381.87 × 3,814.50
  4. Step 4: Simplify right side
    6,798.36x = 35,787,143.12
  5. Step 5: Solve for x
    x = 35,787,143.12/6,798.36
  6. Step 6: Final answer
    x = 5,264.08

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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.