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Finding the Fourth Proportional to 4,408.66, 6,613.74 and 1,945.20

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Solution

The fourth proportional to 4,408.66, 6,613.74 and 1,945.20 is: 2,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.66 : 6,613.74 = 1,945.20 : x
  2. Step 2: Convert to fraction form
    4,408.66/6,613.74 = 1,945.20/x
  3. Step 3: Cross multiply
    4,408.66x = 6,613.74 × 1,945.20
  4. Step 4: Simplify right side
    4,408.66x = 12,865,047.05
  5. Step 5: Solve for x
    x = 12,865,047.05/4,408.66
  6. Step 6: Final answer
    x = 2,918.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.