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Finding the Fourth Proportional to 6,274.73, 9,412.90 and 2,113.87

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Solution

The fourth proportional to 6,274.73, 9,412.90 and 2,113.87 is: 3,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.73 : 9,412.90 = 2,113.87 : x
  2. Step 2: Convert to fraction form
    6,274.73/9,412.90 = 2,113.87/x
  3. Step 3: Cross multiply
    6,274.73x = 9,412.90 × 2,113.87
  4. Step 4: Simplify right side
    6,274.73x = 19,897,665.94
  5. Step 5: Solve for x
    x = 19,897,665.94/6,274.73
  6. Step 6: Final answer
    x = 3,171.08

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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.