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Finding the Fourth Proportional to 7,869.94, 11,805.99 and 2,323.69

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Solution

The fourth proportional to 7,869.94, 11,805.99 and 2,323.69 is: 3,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.94 : 11,805.99 = 2,323.69 : x
  2. Step 2: Convert to fraction form
    7,869.94/11,805.99 = 2,323.69/x
  3. Step 3: Cross multiply
    7,869.94x = 11,805.99 × 2,323.69
  4. Step 4: Simplify right side
    7,869.94x = 27,433,460.90
  5. Step 5: Solve for x
    x = 27,433,460.90/7,869.94
  6. Step 6: Final answer
    x = 3,485.85

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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.