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Finding the Fourth Proportional to 10,550.64, 14,559.89 and 6,359.70

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Solution

The fourth proportional to 10,550.64, 14,559.89 and 6,359.70 is: 8,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.64 : 14,559.89 = 6,359.70 : x
  2. Step 2: Convert to fraction form
    10,550.64/14,559.89 = 6,359.70/x
  3. Step 3: Cross multiply
    10,550.64x = 14,559.89 × 6,359.70
  4. Step 4: Simplify right side
    10,550.64x = 92,596,500.63
  5. Step 5: Solve for x
    x = 92,596,500.63/10,550.64
  6. Step 6: Final answer
    x = 8,776.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.