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Finding the Fourth Proportional to 23,647.35, 35,467.68 and 7,009.14

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Solution

The fourth proportional to 23,647.35, 35,467.68 and 7,009.14 is: 10,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.35 : 35,467.68 = 7,009.14 : x
  2. Step 2: Convert to fraction form
    23,647.35/35,467.68 = 7,009.14/x
  3. Step 3: Cross multiply
    23,647.35x = 35,467.68 × 7,009.14
  4. Step 4: Simplify right side
    23,647.35x = 248,597,934.60
  5. Step 5: Solve for x
    x = 248,597,934.60/23,647.35
  6. Step 6: Final answer
    x = 10,512.72

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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.