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Finding the Fourth Proportional to 6,144.66, 8,482.77 and 3,627.54

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Solution

The fourth proportional to 6,144.66, 8,482.77 and 3,627.54 is: 5,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.66 : 8,482.77 = 3,627.54 : x
  2. Step 2: Convert to fraction form
    6,144.66/8,482.77 = 3,627.54/x
  3. Step 3: Cross multiply
    6,144.66x = 8,482.77 × 3,627.54
  4. Step 4: Simplify right side
    6,144.66x = 30,771,587.49
  5. Step 5: Solve for x
    x = 30,771,587.49/6,144.66
  6. Step 6: Final answer
    x = 5,007.86

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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.