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Finding the Fourth Proportional to 6,552.84, 9,042.84 and 3,568.65

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Solution

The fourth proportional to 6,552.84, 9,042.84 and 3,568.65 is: 4,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.84 : 9,042.84 = 3,568.65 : x
  2. Step 2: Convert to fraction form
    6,552.84/9,042.84 = 3,568.65/x
  3. Step 3: Cross multiply
    6,552.84x = 9,042.84 × 3,568.65
  4. Step 4: Simplify right side
    6,552.84x = 32,270,730.97
  5. Step 5: Solve for x
    x = 32,270,730.97/6,552.84
  6. Step 6: Final answer
    x = 4,924.69

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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.