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Finding the Fourth Proportional to 8,283.94, 11,431.83 and 4,557.94

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Solution

The fourth proportional to 8,283.94, 11,431.83 and 4,557.94 is: 6,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.94 : 11,431.83 = 4,557.94 : x
  2. Step 2: Convert to fraction form
    8,283.94/11,431.83 = 4,557.94/x
  3. Step 3: Cross multiply
    8,283.94x = 11,431.83 × 4,557.94
  4. Step 4: Simplify right side
    8,283.94x = 52,105,583.74
  5. Step 5: Solve for x
    x = 52,105,583.74/8,283.94
  6. Step 6: Final answer
    x = 6,289.95

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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.