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Finding the Fourth Proportional to 6,075.84, 8,385.84 and 3,838.56

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Solution

The fourth proportional to 6,075.84, 8,385.84 and 3,838.56 is: 5,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.84 : 8,385.84 = 3,838.56 : x
  2. Step 2: Convert to fraction form
    6,075.84/8,385.84 = 3,838.56/x
  3. Step 3: Cross multiply
    6,075.84x = 8,385.84 × 3,838.56
  4. Step 4: Simplify right side
    6,075.84x = 32,189,549.99
  5. Step 5: Solve for x
    x = 32,189,549.99/6,075.84
  6. Step 6: Final answer
    x = 5,297.96

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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.