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Finding the Fourth Proportional to 6,178.50, 9,268.71 and 2,075.46

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Solution

The fourth proportional to 6,178.50, 9,268.71 and 2,075.46 is: 3,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.50 : 9,268.71 = 2,075.46 : x
  2. Step 2: Convert to fraction form
    6,178.50/9,268.71 = 2,075.46/x
  3. Step 3: Cross multiply
    6,178.50x = 9,268.71 × 2,075.46
  4. Step 4: Simplify right side
    6,178.50x = 19,236,836.86
  5. Step 5: Solve for x
    x = 19,236,836.86/6,178.50
  6. Step 6: Final answer
    x = 3,113.51

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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.