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Finding the Fourth Proportional to 6,954.97, 10,434.17 and 2,024.66

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Solution

The fourth proportional to 6,954.97, 10,434.17 and 2,024.66 is: 3,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.97 : 10,434.17 = 2,024.66 : x
  2. Step 2: Convert to fraction form
    6,954.97/10,434.17 = 2,024.66/x
  3. Step 3: Cross multiply
    6,954.97x = 10,434.17 × 2,024.66
  4. Step 4: Simplify right side
    6,954.97x = 21,125,646.63
  5. Step 5: Solve for x
    x = 21,125,646.63/6,954.97
  6. Step 6: Final answer
    x = 3,037.49

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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.