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Finding the Fourth Proportional to 10,766.81, 14,858.06 and 6,051.11

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Solution

The fourth proportional to 10,766.81, 14,858.06 and 6,051.11 is: 8,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.81 : 14,858.06 = 6,051.11 : x
  2. Step 2: Convert to fraction form
    10,766.81/14,858.06 = 6,051.11/x
  3. Step 3: Cross multiply
    10,766.81x = 14,858.06 × 6,051.11
  4. Step 4: Simplify right side
    10,766.81x = 89,907,650.90
  5. Step 5: Solve for x
    x = 89,907,650.90/10,766.81
  6. Step 6: Final answer
    x = 8,350.44

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1.5x scale

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.