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Finding the Fourth Proportional to 6,492.85, 9,740.24 and 2,597.17

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Solution

The fourth proportional to 6,492.85, 9,740.24 and 2,597.17 is: 3,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.85 : 9,740.24 = 2,597.17 : x
  2. Step 2: Convert to fraction form
    6,492.85/9,740.24 = 2,597.17/x
  3. Step 3: Cross multiply
    6,492.85x = 9,740.24 × 2,597.17
  4. Step 4: Simplify right side
    6,492.85x = 25,297,059.12
  5. Step 5: Solve for x
    x = 25,297,059.12/6,492.85
  6. Step 6: Final answer
    x = 3,896.14

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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.