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Finding the Fourth Proportional to 7,381.44, 10,186 and 4,194.32

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Solution

The fourth proportional to 7,381.44, 10,186 and 4,194.32 is: 5,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.44 : 10,186 = 4,194.32 : x
  2. Step 2: Convert to fraction form
    7,381.44/10,186 = 4,194.32/x
  3. Step 3: Cross multiply
    7,381.44x = 10,186 × 4,194.32
  4. Step 4: Simplify right side
    7,381.44x = 42,723,343.52
  5. Step 5: Solve for x
    x = 42,723,343.52/7,381.44
  6. Step 6: Final answer
    x = 5,787.94

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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.