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Finding the Fourth Proportional to 5,137.56, 7,669.17 and 4,514.76

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Solution

The fourth proportional to 5,137.56, 7,669.17 and 4,514.76 is: 6,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.56 : 7,669.17 = 4,514.76 : x
  2. Step 2: Convert to fraction form
    5,137.56/7,669.17 = 4,514.76/x
  3. Step 3: Cross multiply
    5,137.56x = 7,669.17 × 4,514.76
  4. Step 4: Simplify right side
    5,137.56x = 34,624,461.95
  5. Step 5: Solve for x
    x = 34,624,461.95/5,137.56
  6. Step 6: Final answer
    x = 6,739.48

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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.