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Finding the Fourth Proportional to 9,668.56, 14,491.77 and 4,463.50

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Solution

The fourth proportional to 9,668.56, 14,491.77 and 4,463.50 is: 6,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.56 : 14,491.77 = 4,463.50 : x
  2. Step 2: Convert to fraction form
    9,668.56/14,491.77 = 4,463.50/x
  3. Step 3: Cross multiply
    9,668.56x = 14,491.77 × 4,463.50
  4. Step 4: Simplify right side
    9,668.56x = 64,684,015.40
  5. Step 5: Solve for x
    x = 64,684,015.40/9,668.56
  6. Step 6: Final answer
    x = 6,690.14

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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.