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Finding the Fourth Proportional to 4,749.08, 7,123.02 and 1,464.44

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Solution

The fourth proportional to 4,749.08, 7,123.02 and 1,464.44 is: 2,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.08 : 7,123.02 = 1,464.44 : x
  2. Step 2: Convert to fraction form
    4,749.08/7,123.02 = 1,464.44/x
  3. Step 3: Cross multiply
    4,749.08x = 7,123.02 × 1,464.44
  4. Step 4: Simplify right side
    4,749.08x = 10,431,235.41
  5. Step 5: Solve for x
    x = 10,431,235.41/4,749.08
  6. Step 6: Final answer
    x = 2,196.47

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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.