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Finding the Fourth Proportional to 6,294.65, 9,433.88 and 2,599.47

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Solution

The fourth proportional to 6,294.65, 9,433.88 and 2,599.47 is: 3,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.65 : 9,433.88 = 2,599.47 : x
  2. Step 2: Convert to fraction form
    6,294.65/9,433.88 = 2,599.47/x
  3. Step 3: Cross multiply
    6,294.65x = 9,433.88 × 2,599.47
  4. Step 4: Simplify right side
    6,294.65x = 24,523,075.05
  5. Step 5: Solve for x
    x = 24,523,075.05/6,294.65
  6. Step 6: Final answer
    x = 3,895.86

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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.