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Finding the Fourth Proportional to 4,609.71, 6,914.57 and 1,146.96

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Solution

The fourth proportional to 4,609.71, 6,914.57 and 1,146.96 is: 1,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.71 : 6,914.57 = 1,146.96 : x
  2. Step 2: Convert to fraction form
    4,609.71/6,914.57 = 1,146.96/x
  3. Step 3: Cross multiply
    4,609.71x = 6,914.57 × 1,146.96
  4. Step 4: Simplify right side
    4,609.71x = 7,930,771.56
  5. Step 5: Solve for x
    x = 7,930,771.56/4,609.71
  6. Step 6: Final answer
    x = 1,720.45

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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.