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Finding the Fourth Proportional to 6,235.08, 9,354.20 and 2,075.12

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Solution

The fourth proportional to 6,235.08, 9,354.20 and 2,075.12 is: 3,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.08 : 9,354.20 = 2,075.12 : x
  2. Step 2: Convert to fraction form
    6,235.08/9,354.20 = 2,075.12/x
  3. Step 3: Cross multiply
    6,235.08x = 9,354.20 × 2,075.12
  4. Step 4: Simplify right side
    6,235.08x = 19,411,087.50
  5. Step 5: Solve for x
    x = 19,411,087.50/6,235.08
  6. Step 6: Final answer
    x = 3,113.21

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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.