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Finding the Fourth Proportional to 9,798.96, 14,699.52 and 2,874

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Solution

The fourth proportional to 9,798.96, 14,699.52 and 2,874 is: 4,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.96 : 14,699.52 = 2,874 : x
  2. Step 2: Convert to fraction form
    9,798.96/14,699.52 = 2,874/x
  3. Step 3: Cross multiply
    9,798.96x = 14,699.52 × 2,874
  4. Step 4: Simplify right side
    9,798.96x = 42,246,420.48
  5. Step 5: Solve for x
    x = 42,246,420.48/9,798.96
  6. Step 6: Final answer
    x = 4,311.32

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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.