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Finding the Fourth Proportional to 12,283.21, 16,946.87 and 7,249.11

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Solution

The fourth proportional to 12,283.21, 16,946.87 and 7,249.11 is: 10,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.21 : 16,946.87 = 7,249.11 : x
  2. Step 2: Convert to fraction form
    12,283.21/16,946.87 = 7,249.11/x
  3. Step 3: Cross multiply
    12,283.21x = 16,946.87 × 7,249.11
  4. Step 4: Simplify right side
    12,283.21x = 122,849,761.09
  5. Step 5: Solve for x
    x = 122,849,761.09/12,283.21
  6. Step 6: Final answer
    x = 10,001.44

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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.