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Finding the Fourth Proportional to 13,752.56, 20,629.56 and 8,208.56

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Solution

The fourth proportional to 13,752.56, 20,629.56 and 8,208.56 is: 12,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.56 : 20,629.56 = 8,208.56 : x
  2. Step 2: Convert to fraction form
    13,752.56/20,629.56 = 8,208.56/x
  3. Step 3: Cross multiply
    13,752.56x = 20,629.56 × 8,208.56
  4. Step 4: Simplify right side
    13,752.56x = 169,338,981.03
  5. Step 5: Solve for x
    x = 169,338,981.03/13,752.56
  6. Step 6: Final answer
    x = 12,313.27

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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.