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Finding the Fourth Proportional to 9,663.10, 14,492.49 and 4,463.98

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Solution

The fourth proportional to 9,663.10, 14,492.49 and 4,463.98 is: 6,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.10 : 14,492.49 = 4,463.98 : x
  2. Step 2: Convert to fraction form
    9,663.10/14,492.49 = 4,463.98/x
  3. Step 3: Cross multiply
    9,663.10x = 14,492.49 × 4,463.98
  4. Step 4: Simplify right side
    9,663.10x = 64,694,185.51
  5. Step 5: Solve for x
    x = 64,694,185.51/9,663.10
  6. Step 6: Final answer
    x = 6,694.97

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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.