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Finding the Fourth Proportional to 6,568.50, 9,787.07 and 6,065.49

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Solution

The fourth proportional to 6,568.50, 9,787.07 and 6,065.49 is: 9,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.50 : 9,787.07 = 6,065.49 : x
  2. Step 2: Convert to fraction form
    6,568.50/9,787.07 = 6,065.49/x
  3. Step 3: Cross multiply
    6,568.50x = 9,787.07 × 6,065.49
  4. Step 4: Simplify right side
    6,568.50x = 59,363,344.89
  5. Step 5: Solve for x
    x = 59,363,344.89/6,568.50
  6. Step 6: Final answer
    x = 9,037.58

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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.