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Finding the Fourth Proportional to 4,618.86, 6,928.68 and 1,846.20

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Solution

The fourth proportional to 4,618.86, 6,928.68 and 1,846.20 is: 2,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.86 : 6,928.68 = 1,846.20 : x
  2. Step 2: Convert to fraction form
    4,618.86/6,928.68 = 1,846.20/x
  3. Step 3: Cross multiply
    4,618.86x = 6,928.68 × 1,846.20
  4. Step 4: Simplify right side
    4,618.86x = 12,791,729.02
  5. Step 5: Solve for x
    x = 12,791,729.02/4,618.86
  6. Step 6: Final answer
    x = 2,769.46

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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.