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Finding the Fourth Proportional to 6,450.51, 9,662.31 and 5,194.32

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Solution

The fourth proportional to 6,450.51, 9,662.31 and 5,194.32 is: 7,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.51 : 9,662.31 = 5,194.32 : x
  2. Step 2: Convert to fraction form
    6,450.51/9,662.31 = 5,194.32/x
  3. Step 3: Cross multiply
    6,450.51x = 9,662.31 × 5,194.32
  4. Step 4: Simplify right side
    6,450.51x = 50,189,130.08
  5. Step 5: Solve for x
    x = 50,189,130.08/6,450.51
  6. Step 6: Final answer
    x = 7,780.65

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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.