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Finding the Fourth Proportional to 23,806.50, 35,714.82 and 7,165.14

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Solution

The fourth proportional to 23,806.50, 35,714.82 and 7,165.14 is: 10,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.50 : 35,714.82 = 7,165.14 : x
  2. Step 2: Convert to fraction form
    23,806.50/35,714.82 = 7,165.14/x
  3. Step 3: Cross multiply
    23,806.50x = 35,714.82 × 7,165.14
  4. Step 4: Simplify right side
    23,806.50x = 255,901,685.37
  5. Step 5: Solve for x
    x = 255,901,685.37/23,806.50
  6. Step 6: Final answer
    x = 10,749.24

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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.