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Finding the Fourth Proportional to 11,804.75, 16,290.61 and 6,769.16

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Solution

The fourth proportional to 11,804.75, 16,290.61 and 6,769.16 is: 9,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.75 : 16,290.61 = 6,769.16 : x
  2. Step 2: Convert to fraction form
    11,804.75/16,290.61 = 6,769.16/x
  3. Step 3: Cross multiply
    11,804.75x = 16,290.61 × 6,769.16
  4. Step 4: Simplify right side
    11,804.75x = 110,273,647.21
  5. Step 5: Solve for x
    x = 110,273,647.21/11,804.75
  6. Step 6: Final answer
    x = 9,341.47

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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.