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Finding the Fourth Proportional to 5,578.68, 7,694.55 and 4,738.06

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Solution

The fourth proportional to 5,578.68, 7,694.55 and 4,738.06 is: 6,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.68 : 7,694.55 = 4,738.06 : x
  2. Step 2: Convert to fraction form
    5,578.68/7,694.55 = 4,738.06/x
  3. Step 3: Cross multiply
    5,578.68x = 7,694.55 × 4,738.06
  4. Step 4: Simplify right side
    5,578.68x = 36,457,239.57
  5. Step 5: Solve for x
    x = 36,457,239.57/5,578.68
  6. Step 6: Final answer
    x = 6,535.10

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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.