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Finding the Fourth Proportional to 6,568, 9,855.60 and 6,519.04

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Solution

The fourth proportional to 6,568, 9,855.60 and 6,519.04 is: 9,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568 : 9,855.60 = 6,519.04 : x
  2. Step 2: Convert to fraction form
    6,568/9,855.60 = 6,519.04/x
  3. Step 3: Cross multiply
    6,568x = 9,855.60 × 6,519.04
  4. Step 4: Simplify right side
    6,568x = 64,249,050.62
  5. Step 5: Solve for x
    x = 64,249,050.62/6,568
  6. Step 6: Final answer
    x = 9,782.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.