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Finding the Fourth Proportional to 12,046.87, 16,621.52 and 6,941.13

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Solution

The fourth proportional to 12,046.87, 16,621.52 and 6,941.13 is: 9,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.87 : 16,621.52 = 6,941.13 : x
  2. Step 2: Convert to fraction form
    12,046.87/16,621.52 = 6,941.13/x
  3. Step 3: Cross multiply
    12,046.87x = 16,621.52 × 6,941.13
  4. Step 4: Simplify right side
    12,046.87x = 115,372,131.12
  5. Step 5: Solve for x
    x = 115,372,131.12/12,046.87
  6. Step 6: Final answer
    x = 9,576.94

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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.