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Finding the Fourth Proportional to 4,609.54, 6,914.70 and 2,014.30

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Solution

The fourth proportional to 4,609.54, 6,914.70 and 2,014.30 is: 3,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.54 : 6,914.70 = 2,014.30 : x
  2. Step 2: Convert to fraction form
    4,609.54/6,914.70 = 2,014.30/x
  3. Step 3: Cross multiply
    4,609.54x = 6,914.70 × 2,014.30
  4. Step 4: Simplify right side
    4,609.54x = 13,928,280.21
  5. Step 5: Solve for x
    x = 13,928,280.21/4,609.54
  6. Step 6: Final answer
    x = 3,021.62

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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.