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Finding the Fourth Proportional to 7,846.74, 10,804.82 and 6,782.62

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Solution

The fourth proportional to 7,846.74, 10,804.82 and 6,782.62 is: 9,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.74 : 10,804.82 = 6,782.62 : x
  2. Step 2: Convert to fraction form
    7,846.74/10,804.82 = 6,782.62/x
  3. Step 3: Cross multiply
    7,846.74x = 10,804.82 × 6,782.62
  4. Step 4: Simplify right side
    7,846.74x = 73,284,988.23
  5. Step 5: Solve for x
    x = 73,284,988.23/7,846.74
  6. Step 6: Final answer
    x = 9,339.55

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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.