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Finding the Fourth Proportional to 5,673.78, 7,832.07 and 5,524.74

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Solution

The fourth proportional to 5,673.78, 7,832.07 and 5,524.74 is: 7,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.78 : 7,832.07 = 5,524.74 : x
  2. Step 2: Convert to fraction form
    5,673.78/7,832.07 = 5,524.74/x
  3. Step 3: Cross multiply
    5,673.78x = 7,832.07 × 5,524.74
  4. Step 4: Simplify right side
    5,673.78x = 43,270,150.41
  5. Step 5: Solve for x
    x = 43,270,150.41/5,673.78
  6. Step 6: Final answer
    x = 7,626.34

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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.