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Finding the Fourth Proportional to 8,375.14, 11,558.01 and 4,649.86

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Solution

The fourth proportional to 8,375.14, 11,558.01 and 4,649.86 is: 6,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.14 : 11,558.01 = 4,649.86 : x
  2. Step 2: Convert to fraction form
    8,375.14/11,558.01 = 4,649.86/x
  3. Step 3: Cross multiply
    8,375.14x = 11,558.01 × 4,649.86
  4. Step 4: Simplify right side
    8,375.14x = 53,743,128.38
  5. Step 5: Solve for x
    x = 53,743,128.38/8,375.14
  6. Step 6: Final answer
    x = 6,416.98

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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.