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Finding the Fourth Proportional to 4,770.91, 7,157.47 and 1,483.83

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Solution

The fourth proportional to 4,770.91, 7,157.47 and 1,483.83 is: 2,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.91 : 7,157.47 = 1,483.83 : x
  2. Step 2: Convert to fraction form
    4,770.91/7,157.47 = 1,483.83/x
  3. Step 3: Cross multiply
    4,770.91x = 7,157.47 × 1,483.83
  4. Step 4: Simplify right side
    4,770.91x = 10,620,468.71
  5. Step 5: Solve for x
    x = 10,620,468.71/4,770.91
  6. Step 6: Final answer
    x = 2,226.09

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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.