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Finding the Fourth Proportional to 6,568.36, 9,814.07 and 6,338.68

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Solution

The fourth proportional to 6,568.36, 9,814.07 and 6,338.68 is: 9,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.36 : 9,814.07 = 6,338.68 : x
  2. Step 2: Convert to fraction form
    6,568.36/9,814.07 = 6,338.68/x
  3. Step 3: Cross multiply
    6,568.36x = 9,814.07 × 6,338.68
  4. Step 4: Simplify right side
    6,568.36x = 62,208,249.23
  5. Step 5: Solve for x
    x = 62,208,249.23/6,568.36
  6. Step 6: Final answer
    x = 9,470.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.