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Finding the Fourth Proportional to 6,307, 9,451.95 and 2,409.28

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Solution

The fourth proportional to 6,307, 9,451.95 and 2,409.28 is: 3,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307 : 9,451.95 = 2,409.28 : x
  2. Step 2: Convert to fraction form
    6,307/9,451.95 = 2,409.28/x
  3. Step 3: Cross multiply
    6,307x = 9,451.95 × 2,409.28
  4. Step 4: Simplify right side
    6,307x = 22,772,394.10
  5. Step 5: Solve for x
    x = 22,772,394.10/6,307
  6. Step 6: Final answer
    x = 3,610.65

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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.