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Finding the Fourth Proportional to 9,107.70, 13,629.15 and 6,321.30

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Solution

The fourth proportional to 9,107.70, 13,629.15 and 6,321.30 is: 9,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.70 : 13,629.15 = 6,321.30 : x
  2. Step 2: Convert to fraction form
    9,107.70/13,629.15 = 6,321.30/x
  3. Step 3: Cross multiply
    9,107.70x = 13,629.15 × 6,321.30
  4. Step 4: Simplify right side
    9,107.70x = 86,153,945.90
  5. Step 5: Solve for x
    x = 86,153,945.90/9,107.70
  6. Step 6: Final answer
    x = 9,459.46

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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.