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Finding the Fourth Proportional to 6,574.92, 9,857.79 and 3,061.14

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Solution

The fourth proportional to 6,574.92, 9,857.79 and 3,061.14 is: 4,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.92 : 9,857.79 = 3,061.14 : x
  2. Step 2: Convert to fraction form
    6,574.92/9,857.79 = 3,061.14/x
  3. Step 3: Cross multiply
    6,574.92x = 9,857.79 × 3,061.14
  4. Step 4: Simplify right side
    6,574.92x = 30,176,075.28
  5. Step 5: Solve for x
    x = 30,176,075.28/6,574.92
  6. Step 6: Final answer
    x = 4,589.57

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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.