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Finding the Fourth Proportional to 6,364.11, 9,549.18 and 3,075.36

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Solution

The fourth proportional to 6,364.11, 9,549.18 and 3,075.36 is: 4,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.11 : 9,549.18 = 3,075.36 : x
  2. Step 2: Convert to fraction form
    6,364.11/9,549.18 = 3,075.36/x
  3. Step 3: Cross multiply
    6,364.11x = 9,549.18 × 3,075.36
  4. Step 4: Simplify right side
    6,364.11x = 29,367,166.20
  5. Step 5: Solve for x
    x = 29,367,166.20/6,364.11
  6. Step 6: Final answer
    x = 4,614.50

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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.