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Finding the Fourth Proportional to 15,307, 22,968.67 and 6,539.90

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Solution

The fourth proportional to 15,307, 22,968.67 and 6,539.90 is: 9,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307 : 22,968.67 = 6,539.90 : x
  2. Step 2: Convert to fraction form
    15,307/22,968.67 = 6,539.90/x
  3. Step 3: Cross multiply
    15,307x = 22,968.67 × 6,539.90
  4. Step 4: Simplify right side
    15,307x = 150,212,804.93
  5. Step 5: Solve for x
    x = 150,212,804.93/15,307
  6. Step 6: Final answer
    x = 9,813.34

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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.