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Finding the Fourth Proportional to 6,492.76, 9,732.57 and 2,985.28

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Solution

The fourth proportional to 6,492.76, 9,732.57 and 2,985.28 is: 4,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.76 : 9,732.57 = 2,985.28 : x
  2. Step 2: Convert to fraction form
    6,492.76/9,732.57 = 2,985.28/x
  3. Step 3: Cross multiply
    6,492.76x = 9,732.57 × 2,985.28
  4. Step 4: Simplify right side
    6,492.76x = 29,054,446.57
  5. Step 5: Solve for x
    x = 29,054,446.57/6,492.76
  6. Step 6: Final answer
    x = 4,474.90

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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.