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Finding the Fourth Proportional to 3,412.97, 5,119.55 and 947.97

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Solution

The fourth proportional to 3,412.97, 5,119.55 and 947.97 is: 1,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.97 : 5,119.55 = 947.97 : x
  2. Step 2: Convert to fraction form
    3,412.97/5,119.55 = 947.97/x
  3. Step 3: Cross multiply
    3,412.97x = 5,119.55 × 947.97
  4. Step 4: Simplify right side
    3,412.97x = 4,853,179.81
  5. Step 5: Solve for x
    x = 4,853,179.81/3,412.97
  6. Step 6: Final answer
    x = 1,421.98

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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.