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Finding the Fourth Proportional to 4,661.90, 6,991.37 and 1,541.33

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Solution

The fourth proportional to 4,661.90, 6,991.37 and 1,541.33 is: 2,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.90 : 6,991.37 = 1,541.33 : x
  2. Step 2: Convert to fraction form
    4,661.90/6,991.37 = 1,541.33/x
  3. Step 3: Cross multiply
    4,661.90x = 6,991.37 × 1,541.33
  4. Step 4: Simplify right side
    4,661.90x = 10,775,965.66
  5. Step 5: Solve for x
    x = 10,775,965.66/4,661.90
  6. Step 6: Final answer
    x = 2,311.50

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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.