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Finding the Fourth Proportional to 7,083.95, 9,773.73 and 4,429.17

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Solution

The fourth proportional to 7,083.95, 9,773.73 and 4,429.17 is: 6,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.95 : 9,773.73 = 4,429.17 : x
  2. Step 2: Convert to fraction form
    7,083.95/9,773.73 = 4,429.17/x
  3. Step 3: Cross multiply
    7,083.95x = 9,773.73 × 4,429.17
  4. Step 4: Simplify right side
    7,083.95x = 43,289,511.70
  5. Step 5: Solve for x
    x = 43,289,511.70/7,083.95
  6. Step 6: Final answer
    x = 6,110.93

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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.