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Finding the Fourth Proportional to 4,961.54, 7,444.74 and 1,999.86

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Solution

The fourth proportional to 4,961.54, 7,444.74 and 1,999.86 is: 3,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.54 : 7,444.74 = 1,999.86 : x
  2. Step 2: Convert to fraction form
    4,961.54/7,444.74 = 1,999.86/x
  3. Step 3: Cross multiply
    4,961.54x = 7,444.74 × 1,999.86
  4. Step 4: Simplify right side
    4,961.54x = 14,888,437.74
  5. Step 5: Solve for x
    x = 14,888,437.74/4,961.54
  6. Step 6: Final answer
    x = 3,000.77

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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.