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Finding the Fourth Proportional to 23,679.44, 35,535 and 9,828.44

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Solution

The fourth proportional to 23,679.44, 35,535 and 9,828.44 is: 14,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.44 : 35,535 = 9,828.44 : x
  2. Step 2: Convert to fraction form
    23,679.44/35,535 = 9,828.44/x
  3. Step 3: Cross multiply
    23,679.44x = 35,535 × 9,828.44
  4. Step 4: Simplify right side
    23,679.44x = 349,253,615.40
  5. Step 5: Solve for x
    x = 349,253,615.40/23,679.44
  6. Step 6: Final answer
    x = 14,749.23

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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.