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Finding the Fourth Proportional to 6,307, 8,703.58 and 3,474.52

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Solution

The fourth proportional to 6,307, 8,703.58 and 3,474.52 is: 4,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307 : 8,703.58 = 3,474.52 : x
  2. Step 2: Convert to fraction form
    6,307/8,703.58 = 3,474.52/x
  3. Step 3: Cross multiply
    6,307x = 8,703.58 × 3,474.52
  4. Step 4: Simplify right side
    6,307x = 30,240,762.78
  5. Step 5: Solve for x
    x = 30,240,762.78/6,307
  6. Step 6: Final answer
    x = 4,794.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.