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Finding the Fourth Proportional to 6,568.84, 9,855.29 and 2,294.99

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Solution

The fourth proportional to 6,568.84, 9,855.29 and 2,294.99 is: 3,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.84 : 9,855.29 = 2,294.99 : x
  2. Step 2: Convert to fraction form
    6,568.84/9,855.29 = 2,294.99/x
  3. Step 3: Cross multiply
    6,568.84x = 9,855.29 × 2,294.99
  4. Step 4: Simplify right side
    6,568.84x = 22,617,792.00
  5. Step 5: Solve for x
    x = 22,617,792.00/6,568.84
  6. Step 6: Final answer
    x = 3,443.19

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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.