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Finding the Fourth Proportional to 7,869.69, 11,805.62 and 2,323.49

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Solution

The fourth proportional to 7,869.69, 11,805.62 and 2,323.49 is: 3,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.69 : 11,805.62 = 2,323.49 : x
  2. Step 2: Convert to fraction form
    7,869.69/11,805.62 = 2,323.49/x
  3. Step 3: Cross multiply
    7,869.69x = 11,805.62 × 2,323.49
  4. Step 4: Simplify right side
    7,869.69x = 27,430,169.37
  5. Step 5: Solve for x
    x = 27,430,169.37/7,869.69
  6. Step 6: Final answer
    x = 3,485.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.