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Finding the Fourth Proportional to 9,998.64, 14,997.94 and 4,078

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Solution

The fourth proportional to 9,998.64, 14,997.94 and 4,078 is: 6,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.64 : 14,997.94 = 4,078 : x
  2. Step 2: Convert to fraction form
    9,998.64/14,997.94 = 4,078/x
  3. Step 3: Cross multiply
    9,998.64x = 14,997.94 × 4,078
  4. Step 4: Simplify right side
    9,998.64x = 61,161,599.32
  5. Step 5: Solve for x
    x = 61,161,599.32/9,998.64
  6. Step 6: Final answer
    x = 6,116.99

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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.