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Finding the Fourth Proportional to 25,857, 35,686.98 and 15,249.24

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Solution

The fourth proportional to 25,857, 35,686.98 and 15,249.24 is: 21,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857 : 35,686.98 = 15,249.24 : x
  2. Step 2: Convert to fraction form
    25,857/35,686.98 = 15,249.24/x
  3. Step 3: Cross multiply
    25,857x = 35,686.98 × 15,249.24
  4. Step 4: Simplify right side
    25,857x = 544,199,322.90
  5. Step 5: Solve for x
    x = 544,199,322.90/25,857
  6. Step 6: Final answer
    x = 21,046.50

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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.