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Finding the Fourth Proportional to 6,782.66, 10,164.36 and 3,075.74

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Solution

The fourth proportional to 6,782.66, 10,164.36 and 3,075.74 is: 4,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.66 : 10,164.36 = 3,075.74 : x
  2. Step 2: Convert to fraction form
    6,782.66/10,164.36 = 3,075.74/x
  3. Step 3: Cross multiply
    6,782.66x = 10,164.36 × 3,075.74
  4. Step 4: Simplify right side
    6,782.66x = 31,262,928.63
  5. Step 5: Solve for x
    x = 31,262,928.63/6,782.66
  6. Step 6: Final answer
    x = 4,609.24

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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.