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Finding the Fourth Proportional to 4,609.44, 6,914.16 and 2,011.68

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Solution

The fourth proportional to 4,609.44, 6,914.16 and 2,011.68 is: 3,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.44 : 6,914.16 = 2,011.68 : x
  2. Step 2: Convert to fraction form
    4,609.44/6,914.16 = 2,011.68/x
  3. Step 3: Cross multiply
    4,609.44x = 6,914.16 × 2,011.68
  4. Step 4: Simplify right side
    4,609.44x = 13,909,077.39
  5. Step 5: Solve for x
    x = 13,909,077.39/4,609.44
  6. Step 6: Final answer
    x = 3,017.52

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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.