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Finding the Fourth Proportional to 11,655.34, 16,086.44 and 6,874.99

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Solution

The fourth proportional to 11,655.34, 16,086.44 and 6,874.99 is: 9,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.34 : 16,086.44 = 6,874.99 : x
  2. Step 2: Convert to fraction form
    11,655.34/16,086.44 = 6,874.99/x
  3. Step 3: Cross multiply
    11,655.34x = 16,086.44 × 6,874.99
  4. Step 4: Simplify right side
    11,655.34x = 110,594,050.89
  5. Step 5: Solve for x
    x = 110,594,050.89/11,655.34
  6. Step 6: Final answer
    x = 9,488.71

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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.