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Finding the Fourth Proportional to 4,142.54, 6,216.54 and 1,951.89

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Solution

The fourth proportional to 4,142.54, 6,216.54 and 1,951.89 is: 2,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.54 : 6,216.54 = 1,951.89 : x
  2. Step 2: Convert to fraction form
    4,142.54/6,216.54 = 1,951.89/x
  3. Step 3: Cross multiply
    4,142.54x = 6,216.54 × 1,951.89
  4. Step 4: Simplify right side
    4,142.54x = 12,133,992.50
  5. Step 5: Solve for x
    x = 12,133,992.50/4,142.54
  6. Step 6: Final answer
    x = 2,929.12

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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.