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Finding the Fourth Proportional to 7,109.93, 10,664.93 and 1,844.57

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Solution

The fourth proportional to 7,109.93, 10,664.93 and 1,844.57 is: 2,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.93 : 10,664.93 = 1,844.57 : x
  2. Step 2: Convert to fraction form
    7,109.93/10,664.93 = 1,844.57/x
  3. Step 3: Cross multiply
    7,109.93x = 10,664.93 × 1,844.57
  4. Step 4: Simplify right side
    7,109.93x = 19,672,233.42
  5. Step 5: Solve for x
    x = 19,672,233.42/7,109.93
  6. Step 6: Final answer
    x = 2,766.87

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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.