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Finding the Fourth Proportional to 10,745.68, 14,835.92 and 8,761

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Solution

The fourth proportional to 10,745.68, 14,835.92 and 8,761 is: 12,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.68 : 14,835.92 = 8,761 : x
  2. Step 2: Convert to fraction form
    10,745.68/14,835.92 = 8,761/x
  3. Step 3: Cross multiply
    10,745.68x = 14,835.92 × 8,761
  4. Step 4: Simplify right side
    10,745.68x = 129,977,495.12
  5. Step 5: Solve for x
    x = 129,977,495.12/10,745.68
  6. Step 6: Final answer
    x = 12,095.79

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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.