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Finding the Fourth Proportional to 6,075, 8,384.11 and 3,716.69

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Solution

The fourth proportional to 6,075, 8,384.11 and 3,716.69 is: 5,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 8,384.11 = 3,716.69 : x
  2. Step 2: Convert to fraction form
    6,075/8,384.11 = 3,716.69/x
  3. Step 3: Cross multiply
    6,075x = 8,384.11 × 3,716.69
  4. Step 4: Simplify right side
    6,075x = 31,161,086.58
  5. Step 5: Solve for x
    x = 31,161,086.58/6,075
  6. Step 6: Final answer
    x = 5,129.40

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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.