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Finding the Fourth Proportional to 7,760, 10,709.44 and 4,448.64

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Solution

The fourth proportional to 7,760, 10,709.44 and 4,448.64 is: 6,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760 : 10,709.44 = 4,448.64 : x
  2. Step 2: Convert to fraction form
    7,760/10,709.44 = 4,448.64/x
  3. Step 3: Cross multiply
    7,760x = 10,709.44 × 4,448.64
  4. Step 4: Simplify right side
    7,760x = 47,642,443.16
  5. Step 5: Solve for x
    x = 47,642,443.16/7,760
  6. Step 6: Final answer
    x = 6,139.49

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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.