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Finding the Fourth Proportional to 6,073.78, 9,110.64 and 1,969.78

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Solution

The fourth proportional to 6,073.78, 9,110.64 and 1,969.78 is: 2,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.78 : 9,110.64 = 1,969.78 : x
  2. Step 2: Convert to fraction form
    6,073.78/9,110.64 = 1,969.78/x
  3. Step 3: Cross multiply
    6,073.78x = 9,110.64 × 1,969.78
  4. Step 4: Simplify right side
    6,073.78x = 17,945,956.46
  5. Step 5: Solve for x
    x = 17,945,956.46/6,073.78
  6. Step 6: Final answer
    x = 2,954.66

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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.