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Finding the Fourth Proportional to 7,570.94, 10,447.38 and 4,738.20

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Solution

The fourth proportional to 7,570.94, 10,447.38 and 4,738.20 is: 6,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.94 : 10,447.38 = 4,738.20 : x
  2. Step 2: Convert to fraction form
    7,570.94/10,447.38 = 4,738.20/x
  3. Step 3: Cross multiply
    7,570.94x = 10,447.38 × 4,738.20
  4. Step 4: Simplify right side
    7,570.94x = 49,501,736.74
  5. Step 5: Solve for x
    x = 49,501,736.74/7,570.94
  6. Step 6: Final answer
    x = 6,538.38

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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.