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Finding the Fourth Proportional to 9,757.87, 13,464.41 and 5,927.51

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Solution

The fourth proportional to 9,757.87, 13,464.41 and 5,927.51 is: 8,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.87 : 13,464.41 = 5,927.51 : x
  2. Step 2: Convert to fraction form
    9,757.87/13,464.41 = 5,927.51/x
  3. Step 3: Cross multiply
    9,757.87x = 13,464.41 × 5,927.51
  4. Step 4: Simplify right side
    9,757.87x = 79,810,424.92
  5. Step 5: Solve for x
    x = 79,810,424.92/9,757.87
  6. Step 6: Final answer
    x = 8,179.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.