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Finding the Fourth Proportional to 17,989, 24,825.46 and 10,537.48

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Solution

The fourth proportional to 17,989, 24,825.46 and 10,537.48 is: 14,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989 : 24,825.46 = 10,537.48 : x
  2. Step 2: Convert to fraction form
    17,989/24,825.46 = 10,537.48/x
  3. Step 3: Cross multiply
    17,989x = 24,825.46 × 10,537.48
  4. Step 4: Simplify right side
    17,989x = 261,597,788.24
  5. Step 5: Solve for x
    x = 261,597,788.24/17,989
  6. Step 6: Final answer
    x = 14,542.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.