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Finding the Fourth Proportional to 5,137.64, 7,669.29 and 4,514.86

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Solution

The fourth proportional to 5,137.64, 7,669.29 and 4,514.86 is: 6,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.64 : 7,669.29 = 4,514.86 : x
  2. Step 2: Convert to fraction form
    5,137.64/7,669.29 = 4,514.86/x
  3. Step 3: Cross multiply
    5,137.64x = 7,669.29 × 4,514.86
  4. Step 4: Simplify right side
    5,137.64x = 34,625,728.63
  5. Step 5: Solve for x
    x = 34,625,728.63/5,137.64
  6. Step 6: Final answer
    x = 6,739.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.