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Finding the Fourth Proportional to 7,804.09, 10,768.43 and 4,447.04

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Solution

The fourth proportional to 7,804.09, 10,768.43 and 4,447.04 is: 6,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.09 : 10,768.43 = 4,447.04 : x
  2. Step 2: Convert to fraction form
    7,804.09/10,768.43 = 4,447.04/x
  3. Step 3: Cross multiply
    7,804.09x = 10,768.43 × 4,447.04
  4. Step 4: Simplify right side
    7,804.09x = 47,887,676.99
  5. Step 5: Solve for x
    x = 47,887,676.99/7,804.09
  6. Step 6: Final answer
    x = 6,136.23

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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.