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Finding the Fourth Proportional to 12,958.78, 19,438.17 and 6,029.50

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Solution

The fourth proportional to 12,958.78, 19,438.17 and 6,029.50 is: 9,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.78 : 19,438.17 = 6,029.50 : x
  2. Step 2: Convert to fraction form
    12,958.78/19,438.17 = 6,029.50/x
  3. Step 3: Cross multiply
    12,958.78x = 19,438.17 × 6,029.50
  4. Step 4: Simplify right side
    12,958.78x = 117,202,446.02
  5. Step 5: Solve for x
    x = 117,202,446.02/12,958.78
  6. Step 6: Final answer
    x = 9,044.25

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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.