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Finding the Fourth Proportional to 6,718, 10,075.92 and 4,764.28

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Solution

The fourth proportional to 6,718, 10,075.92 and 4,764.28 is: 7,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718 : 10,075.92 = 4,764.28 : x
  2. Step 2: Convert to fraction form
    6,718/10,075.92 = 4,764.28/x
  3. Step 3: Cross multiply
    6,718x = 10,075.92 × 4,764.28
  4. Step 4: Simplify right side
    6,718x = 48,004,504.14
  5. Step 5: Solve for x
    x = 48,004,504.14/6,718
  6. Step 6: Final answer
    x = 7,145.65

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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.