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Finding the Fourth Proportional to 7,139.97, 9,843.98 and 4,617.63

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Solution

The fourth proportional to 7,139.97, 9,843.98 and 4,617.63 is: 6,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.97 : 9,843.98 = 4,617.63 : x
  2. Step 2: Convert to fraction form
    7,139.97/9,843.98 = 4,617.63/x
  3. Step 3: Cross multiply
    7,139.97x = 9,843.98 × 4,617.63
  4. Step 4: Simplify right side
    7,139.97x = 45,455,834.28
  5. Step 5: Solve for x
    x = 45,455,834.28/7,139.97
  6. Step 6: Final answer
    x = 6,366.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.