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Finding the Fourth Proportional to 6,714.65, 10,075.38 and 3,016.13

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Solution

The fourth proportional to 6,714.65, 10,075.38 and 3,016.13 is: 4,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.65 : 10,075.38 = 3,016.13 : x
  2. Step 2: Convert to fraction form
    6,714.65/10,075.38 = 3,016.13/x
  3. Step 3: Cross multiply
    6,714.65x = 10,075.38 × 3,016.13
  4. Step 4: Simplify right side
    6,714.65x = 30,388,605.50
  5. Step 5: Solve for x
    x = 30,388,605.50/6,714.65
  6. Step 6: Final answer
    x = 4,525.72

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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.