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Finding the Fourth Proportional to 6,057.95, 9,075.06 and 3,971.58

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Solution

The fourth proportional to 6,057.95, 9,075.06 and 3,971.58 is: 5,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.95 : 9,075.06 = 3,971.58 : x
  2. Step 2: Convert to fraction form
    6,057.95/9,075.06 = 3,971.58/x
  3. Step 3: Cross multiply
    6,057.95x = 9,075.06 × 3,971.58
  4. Step 4: Simplify right side
    6,057.95x = 36,042,326.79
  5. Step 5: Solve for x
    x = 36,042,326.79/6,057.95
  6. Step 6: Final answer
    x = 5,949.60

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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.