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Finding the Fourth Proportional to 6,075.87, 8,384.76 and 3,422.76

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Solution

The fourth proportional to 6,075.87, 8,384.76 and 3,422.76 is: 4,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.87 : 8,384.76 = 3,422.76 : x
  2. Step 2: Convert to fraction form
    6,075.87/8,384.76 = 3,422.76/x
  3. Step 3: Cross multiply
    6,075.87x = 8,384.76 × 3,422.76
  4. Step 4: Simplify right side
    6,075.87x = 28,699,021.14
  5. Step 5: Solve for x
    x = 28,699,021.14/6,075.87
  6. Step 6: Final answer
    x = 4,723.44

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Half scale
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Double scale
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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.