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Finding the Fourth Proportional to 23,893.14, 35,839.70 and 7,026.14

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Solution

The fourth proportional to 23,893.14, 35,839.70 and 7,026.14 is: 10,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.14 : 35,839.70 = 7,026.14 : x
  2. Step 2: Convert to fraction form
    23,893.14/35,839.70 = 7,026.14/x
  3. Step 3: Cross multiply
    23,893.14x = 35,839.70 × 7,026.14
  4. Step 4: Simplify right side
    23,893.14x = 251,814,830.57
  5. Step 5: Solve for x
    x = 251,814,830.57/23,893.14
  6. Step 6: Final answer
    x = 10,539.21

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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.