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Finding the Fourth Proportional to 7,744.77, 11,629.00 and 6,828.05

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Solution

The fourth proportional to 7,744.77, 11,629.00 and 6,828.05 is: 10,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.77 : 11,629.00 = 6,828.05 : x
  2. Step 2: Convert to fraction form
    7,744.77/11,629.00 = 6,828.05/x
  3. Step 3: Cross multiply
    7,744.77x = 11,629.00 × 6,828.05
  4. Step 4: Simplify right side
    7,744.77x = 79,403,431.06
  5. Step 5: Solve for x
    x = 79,403,431.06/7,744.77
  6. Step 6: Final answer
    x = 10,252.52

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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.