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Finding the Fourth Proportional to 10,745.66, 14,826.38 and 8,230.62

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Solution

The fourth proportional to 10,745.66, 14,826.38 and 8,230.62 is: 11,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.66 : 14,826.38 = 8,230.62 : x
  2. Step 2: Convert to fraction form
    10,745.66/14,826.38 = 8,230.62/x
  3. Step 3: Cross multiply
    10,745.66x = 14,826.38 × 8,230.62
  4. Step 4: Simplify right side
    10,745.66x = 122,030,299.76
  5. Step 5: Solve for x
    x = 122,030,299.76/10,745.66
  6. Step 6: Final answer
    x = 11,356.24

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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.