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Finding the Fourth Proportional to 13,804.88, 20,707.52 and 3,416.63

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Solution

The fourth proportional to 13,804.88, 20,707.52 and 3,416.63 is: 5,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.88 : 20,707.52 = 3,416.63 : x
  2. Step 2: Convert to fraction form
    13,804.88/20,707.52 = 3,416.63/x
  3. Step 3: Cross multiply
    13,804.88x = 20,707.52 × 3,416.63
  4. Step 4: Simplify right side
    13,804.88x = 70,749,813.44
  5. Step 5: Solve for x
    x = 70,749,813.44/13,804.88
  6. Step 6: Final answer
    x = 5,124.99

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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.