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Finding the Fourth Proportional to 25,168.58, 37,752.00 and 6,448.77

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Solution

The fourth proportional to 25,168.58, 37,752.00 and 6,448.77 is: 9,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168.58 : 37,752.00 = 6,448.77 : x
  2. Step 2: Convert to fraction form
    25,168.58/37,752.00 = 6,448.77/x
  3. Step 3: Cross multiply
    25,168.58x = 37,752.00 × 6,448.77
  4. Step 4: Simplify right side
    25,168.58x = 243,453,940.86
  5. Step 5: Solve for x
    x = 243,453,940.86/25,168.58
  6. Step 6: Final answer
    x = 9,672.93

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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.