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Finding the Fourth Proportional to 6,133.50, 8,464.47 and 3,650.94

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Solution

The fourth proportional to 6,133.50, 8,464.47 and 3,650.94 is: 5,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.50 : 8,464.47 = 3,650.94 : x
  2. Step 2: Convert to fraction form
    6,133.50/8,464.47 = 3,650.94/x
  3. Step 3: Cross multiply
    6,133.50x = 8,464.47 × 3,650.94
  4. Step 4: Simplify right side
    6,133.50x = 30,903,272.10
  5. Step 5: Solve for x
    x = 30,903,272.10/6,133.50
  6. Step 6: Final answer
    x = 5,038.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.