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Finding the Fourth Proportional to 7,083.87, 9,758.82 and 4,955.43

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Solution

The fourth proportional to 7,083.87, 9,758.82 and 4,955.43 is: 6,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.87 : 9,758.82 = 4,955.43 : x
  2. Step 2: Convert to fraction form
    7,083.87/9,758.82 = 4,955.43/x
  3. Step 3: Cross multiply
    7,083.87x = 9,758.82 × 4,955.43
  4. Step 4: Simplify right side
    7,083.87x = 48,359,149.39
  5. Step 5: Solve for x
    x = 48,359,149.39/7,083.87
  6. Step 6: Final answer
    x = 6,826.66

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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.