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Finding the Fourth Proportional to 23,835.87, 35,765.35 and 9,806.26

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Solution

The fourth proportional to 23,835.87, 35,765.35 and 9,806.26 is: 14,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.87 : 35,765.35 = 9,806.26 : x
  2. Step 2: Convert to fraction form
    23,835.87/35,765.35 = 9,806.26/x
  3. Step 3: Cross multiply
    23,835.87x = 35,765.35 × 9,806.26
  4. Step 4: Simplify right side
    23,835.87x = 350,724,361.47
  5. Step 5: Solve for x
    x = 350,724,361.47/23,835.87
  6. Step 6: Final answer
    x = 14,714.14

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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.