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Finding the Fourth Proportional to 25,365, 35,006.32 and 14,610.24

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Solution

The fourth proportional to 25,365, 35,006.32 and 14,610.24 is: 20,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365 : 35,006.32 = 14,610.24 : x
  2. Step 2: Convert to fraction form
    25,365/35,006.32 = 14,610.24/x
  3. Step 3: Cross multiply
    25,365x = 35,006.32 × 14,610.24
  4. Step 4: Simplify right side
    25,365x = 511,450,736.72
  5. Step 5: Solve for x
    x = 511,450,736.72/25,365
  6. Step 6: Final answer
    x = 20,163.64

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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.