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Finding the Fourth Proportional to 8,107.47, 12,173.94 and 4,835.16

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Solution

The fourth proportional to 8,107.47, 12,173.94 and 4,835.16 is: 7,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.47 : 12,173.94 = 4,835.16 : x
  2. Step 2: Convert to fraction form
    8,107.47/12,173.94 = 4,835.16/x
  3. Step 3: Cross multiply
    8,107.47x = 12,173.94 × 4,835.16
  4. Step 4: Simplify right side
    8,107.47x = 58,862,947.73
  5. Step 5: Solve for x
    x = 58,862,947.73/8,107.47
  6. Step 6: Final answer
    x = 7,260.33

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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.