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Finding the Fourth Proportional to 35,937.32, 53,906.34 and 12,564.32

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Solution

The fourth proportional to 35,937.32, 53,906.34 and 12,564.32 is: 18,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,937.32 : 53,906.34 = 12,564.32 : x
  2. Step 2: Convert to fraction form
    35,937.32/53,906.34 = 12,564.32/x
  3. Step 3: Cross multiply
    35,937.32x = 53,906.34 × 12,564.32
  4. Step 4: Simplify right side
    35,937.32x = 677,296,505.79
  5. Step 5: Solve for x
    x = 677,296,505.79/35,937.32
  6. Step 6: Final answer
    x = 18,846.61

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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.