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Finding the Fourth Proportional to 4,548.78, 6,823.20 and 1,951.74

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Solution

The fourth proportional to 4,548.78, 6,823.20 and 1,951.74 is: 2,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.78 : 6,823.20 = 1,951.74 : x
  2. Step 2: Convert to fraction form
    4,548.78/6,823.20 = 1,951.74/x
  3. Step 3: Cross multiply
    4,548.78x = 6,823.20 × 1,951.74
  4. Step 4: Simplify right side
    4,548.78x = 13,317,112.37
  5. Step 5: Solve for x
    x = 13,317,112.37/4,548.78
  6. Step 6: Final answer
    x = 2,927.62

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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.