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Finding the Fourth Proportional to 3,561.06, 4,914.16 and 1,967.83

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Solution

The fourth proportional to 3,561.06, 4,914.16 and 1,967.83 is: 2,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.06 : 4,914.16 = 1,967.83 : x
  2. Step 2: Convert to fraction form
    3,561.06/4,914.16 = 1,967.83/x
  3. Step 3: Cross multiply
    3,561.06x = 4,914.16 × 1,967.83
  4. Step 4: Simplify right side
    3,561.06x = 9,670,231.47
  5. Step 5: Solve for x
    x = 9,670,231.47/3,561.06
  6. Step 6: Final answer
    x = 2,715.55

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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.