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Finding the Fourth Proportional to 23,770.50, 35,650.08 and 7,976.10

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Solution

The fourth proportional to 23,770.50, 35,650.08 and 7,976.10 is: 11,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.50 : 35,650.08 = 7,976.10 : x
  2. Step 2: Convert to fraction form
    23,770.50/35,650.08 = 7,976.10/x
  3. Step 3: Cross multiply
    23,770.50x = 35,650.08 × 7,976.10
  4. Step 4: Simplify right side
    23,770.50x = 284,348,603.09
  5. Step 5: Solve for x
    x = 284,348,603.09/23,770.50
  6. Step 6: Final answer
    x = 11,962.25

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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.