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Finding the Fourth Proportional to 7,804.45, 10,769.45 and 4,447.14

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Solution

The fourth proportional to 7,804.45, 10,769.45 and 4,447.14 is: 6,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.45 : 10,769.45 = 4,447.14 : x
  2. Step 2: Convert to fraction form
    7,804.45/10,769.45 = 4,447.14/x
  3. Step 3: Cross multiply
    7,804.45x = 10,769.45 × 4,447.14
  4. Step 4: Simplify right side
    7,804.45x = 47,893,251.87
  5. Step 5: Solve for x
    x = 47,893,251.87/7,804.45
  6. Step 6: Final answer
    x = 6,136.66

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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.