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Finding the Fourth Proportional to 7,759.89, 10,709.28 and 4,356.83

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Solution

The fourth proportional to 7,759.89, 10,709.28 and 4,356.83 is: 6,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.89 : 10,709.28 = 4,356.83 : x
  2. Step 2: Convert to fraction form
    7,759.89/10,709.28 = 4,356.83/x
  3. Step 3: Cross multiply
    7,759.89x = 10,709.28 × 4,356.83
  4. Step 4: Simplify right side
    7,759.89x = 46,658,458.84
  5. Step 5: Solve for x
    x = 46,658,458.84/7,759.89
  6. Step 6: Final answer
    x = 6,012.77

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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.