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Finding the Fourth Proportional to 6,568.61, 9,064.84 and 3,584.49

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Solution

The fourth proportional to 6,568.61, 9,064.84 and 3,584.49 is: 4,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.61 : 9,064.84 = 3,584.49 : x
  2. Step 2: Convert to fraction form
    6,568.61/9,064.84 = 3,584.49/x
  3. Step 3: Cross multiply
    6,568.61x = 9,064.84 × 3,584.49
  4. Step 4: Simplify right side
    6,568.61x = 32,492,828.33
  5. Step 5: Solve for x
    x = 32,492,828.33/6,568.61
  6. Step 6: Final answer
    x = 4,946.68

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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.