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Finding the Fourth Proportional to 6,492.36, 9,738.54 and 2,596.77

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Solution

The fourth proportional to 6,492.36, 9,738.54 and 2,596.77 is: 3,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.36 : 9,738.54 = 2,596.77 : x
  2. Step 2: Convert to fraction form
    6,492.36/9,738.54 = 2,596.77/x
  3. Step 3: Cross multiply
    6,492.36x = 9,738.54 × 2,596.77
  4. Step 4: Simplify right side
    6,492.36x = 25,288,748.52
  5. Step 5: Solve for x
    x = 25,288,748.52/6,492.36
  6. Step 6: Final answer
    x = 3,895.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.