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Finding the Fourth Proportional to 5,608.74, 7,684 and 5,398.54

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Solution

The fourth proportional to 5,608.74, 7,684 and 5,398.54 is: 7,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.74 : 7,684 = 5,398.54 : x
  2. Step 2: Convert to fraction form
    5,608.74/7,684 = 5,398.54/x
  3. Step 3: Cross multiply
    5,608.74x = 7,684 × 5,398.54
  4. Step 4: Simplify right side
    5,608.74x = 41,482,381.36
  5. Step 5: Solve for x
    x = 41,482,381.36/5,608.74
  6. Step 6: Final answer
    x = 7,396.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.