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Finding the Fourth Proportional to 6,568.79, 9,065.13 and 3,584.82

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Solution

The fourth proportional to 6,568.79, 9,065.13 and 3,584.82 is: 4,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.79 : 9,065.13 = 3,584.82 : x
  2. Step 2: Convert to fraction form
    6,568.79/9,065.13 = 3,584.82/x
  3. Step 3: Cross multiply
    6,568.79x = 9,065.13 × 3,584.82
  4. Step 4: Simplify right side
    6,568.79x = 32,496,839.11
  5. Step 5: Solve for x
    x = 32,496,839.11/6,568.79
  6. Step 6: Final answer
    x = 4,947.16

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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.