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Finding the Fourth Proportional to 13,051.86, 19,563.72 and 6,463.86

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Solution

The fourth proportional to 13,051.86, 19,563.72 and 6,463.86 is: 9,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.86 : 19,563.72 = 6,463.86 : x
  2. Step 2: Convert to fraction form
    13,051.86/19,563.72 = 6,463.86/x
  3. Step 3: Cross multiply
    13,051.86x = 19,563.72 × 6,463.86
  4. Step 4: Simplify right side
    13,051.86x = 126,457,147.16
  5. Step 5: Solve for x
    x = 126,457,147.16/13,051.86
  6. Step 6: Final answer
    x = 9,688.82

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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.