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Finding the Fourth Proportional to 7,862.68, 11,794.65 and 2,019.25

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Solution

The fourth proportional to 7,862.68, 11,794.65 and 2,019.25 is: 3,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.68 : 11,794.65 = 2,019.25 : x
  2. Step 2: Convert to fraction form
    7,862.68/11,794.65 = 2,019.25/x
  3. Step 3: Cross multiply
    7,862.68x = 11,794.65 × 2,019.25
  4. Step 4: Simplify right side
    7,862.68x = 23,816,347.01
  5. Step 5: Solve for x
    x = 23,816,347.01/7,862.68
  6. Step 6: Final answer
    x = 3,029.04

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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.