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Finding the Fourth Proportional to 23,525, 35,287.50 and 7,109

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Solution

The fourth proportional to 23,525, 35,287.50 and 7,109 is: 10,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525 : 35,287.50 = 7,109 : x
  2. Step 2: Convert to fraction form
    23,525/35,287.50 = 7,109/x
  3. Step 3: Cross multiply
    23,525x = 35,287.50 × 7,109
  4. Step 4: Simplify right side
    23,525x = 250,858,837.50
  5. Step 5: Solve for x
    x = 250,858,837.50/23,525
  6. Step 6: Final answer
    x = 10,663.50

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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.