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Finding the Fourth Proportional to 4,609.62, 6,914.44 and 1,146.88

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Solution

The fourth proportional to 4,609.62, 6,914.44 and 1,146.88 is: 1,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.62 : 6,914.44 = 1,146.88 : x
  2. Step 2: Convert to fraction form
    4,609.62/6,914.44 = 1,146.88/x
  3. Step 3: Cross multiply
    4,609.62x = 6,914.44 × 1,146.88
  4. Step 4: Simplify right side
    4,609.62x = 7,930,032.95
  5. Step 5: Solve for x
    x = 7,930,032.95/4,609.62
  6. Step 6: Final answer
    x = 1,720.32

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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.