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Finding the Fourth Proportional to 6,309.70, 9,464.48 and 1,629.30

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Solution

The fourth proportional to 6,309.70, 9,464.48 and 1,629.30 is: 2,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.70 : 9,464.48 = 1,629.30 : x
  2. Step 2: Convert to fraction form
    6,309.70/9,464.48 = 1,629.30/x
  3. Step 3: Cross multiply
    6,309.70x = 9,464.48 × 1,629.30
  4. Step 4: Simplify right side
    6,309.70x = 15,420,477.26
  5. Step 5: Solve for x
    x = 15,420,477.26/6,309.70
  6. Step 6: Final answer
    x = 2,443.93

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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.