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Finding the Fourth Proportional to 12,490.44, 18,723.24 and 6,946.32

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Solution

The fourth proportional to 12,490.44, 18,723.24 and 6,946.32 is: 10,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.44 : 18,723.24 = 6,946.32 : x
  2. Step 2: Convert to fraction form
    12,490.44/18,723.24 = 6,946.32/x
  3. Step 3: Cross multiply
    12,490.44x = 18,723.24 × 6,946.32
  4. Step 4: Simplify right side
    12,490.44x = 130,057,616.48
  5. Step 5: Solve for x
    x = 130,057,616.48/12,490.44
  6. Step 6: Final answer
    x = 10,412.57

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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.