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Finding the Fourth Proportional to 12,846.63, 19,269.57 and 5,821.57

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Solution

The fourth proportional to 12,846.63, 19,269.57 and 5,821.57 is: 8,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.63 : 19,269.57 = 5,821.57 : x
  2. Step 2: Convert to fraction form
    12,846.63/19,269.57 = 5,821.57/x
  3. Step 3: Cross multiply
    12,846.63x = 19,269.57 × 5,821.57
  4. Step 4: Simplify right side
    12,846.63x = 112,179,054.28
  5. Step 5: Solve for x
    x = 112,179,054.28/12,846.63
  6. Step 6: Final answer
    x = 8,732.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.