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Finding the Fourth Proportional to 9,968, 14,952.60 and 3,042.56

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Solution

The fourth proportional to 9,968, 14,952.60 and 3,042.56 is: 4,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968 : 14,952.60 = 3,042.56 : x
  2. Step 2: Convert to fraction form
    9,968/14,952.60 = 3,042.56/x
  3. Step 3: Cross multiply
    9,968x = 14,952.60 × 3,042.56
  4. Step 4: Simplify right side
    9,968x = 45,494,182.66
  5. Step 5: Solve for x
    x = 45,494,182.66/9,968
  6. Step 6: Final answer
    x = 4,564.02

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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.