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Finding the Fourth Proportional to 4,614.86, 6,922.75 and 1,840.88

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Solution

The fourth proportional to 4,614.86, 6,922.75 and 1,840.88 is: 2,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.86 : 6,922.75 = 1,840.88 : x
  2. Step 2: Convert to fraction form
    4,614.86/6,922.75 = 1,840.88/x
  3. Step 3: Cross multiply
    4,614.86x = 6,922.75 × 1,840.88
  4. Step 4: Simplify right side
    4,614.86x = 12,743,952.02
  5. Step 5: Solve for x
    x = 12,743,952.02/4,614.86
  6. Step 6: Final answer
    x = 2,761.50

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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.