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Finding the Fourth Proportional to 12,283.63, 16,954.14 and 7,806.50

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Solution

The fourth proportional to 12,283.63, 16,954.14 and 7,806.50 is: 10,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.63 : 16,954.14 = 7,806.50 : x
  2. Step 2: Convert to fraction form
    12,283.63/16,954.14 = 7,806.50/x
  3. Step 3: Cross multiply
    12,283.63x = 16,954.14 × 7,806.50
  4. Step 4: Simplify right side
    12,283.63x = 132,352,493.91
  5. Step 5: Solve for x
    x = 132,352,493.91/12,283.63
  6. Step 6: Final answer
    x = 10,774.71

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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.