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Finding the Fourth Proportional to 6,367.56, 9,551.75 and 1,985.19

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Solution

The fourth proportional to 6,367.56, 9,551.75 and 1,985.19 is: 2,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.56 : 9,551.75 = 1,985.19 : x
  2. Step 2: Convert to fraction form
    6,367.56/9,551.75 = 1,985.19/x
  3. Step 3: Cross multiply
    6,367.56x = 9,551.75 × 1,985.19
  4. Step 4: Simplify right side
    6,367.56x = 18,962,028.66
  5. Step 5: Solve for x
    x = 18,962,028.66/6,367.56
  6. Step 6: Final answer
    x = 2,977.91

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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.