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Finding the Fourth Proportional to 5,954.46, 8,198.46 and 5,056.35

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Solution

The fourth proportional to 5,954.46, 8,198.46 and 5,056.35 is: 6,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.46 : 8,198.46 = 5,056.35 : x
  2. Step 2: Convert to fraction form
    5,954.46/8,198.46 = 5,056.35/x
  3. Step 3: Cross multiply
    5,954.46x = 8,198.46 × 5,056.35
  4. Step 4: Simplify right side
    5,954.46x = 41,454,283.22
  5. Step 5: Solve for x
    x = 41,454,283.22/5,954.46
  6. Step 6: Final answer
    x = 6,961.89

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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.