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Finding the Fourth Proportional to 6,492.96, 9,738.48 and 2,388

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Solution

The fourth proportional to 6,492.96, 9,738.48 and 2,388 is: 3,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.96 : 9,738.48 = 2,388 : x
  2. Step 2: Convert to fraction form
    6,492.96/9,738.48 = 2,388/x
  3. Step 3: Cross multiply
    6,492.96x = 9,738.48 × 2,388
  4. Step 4: Simplify right side
    6,492.96x = 23,255,490.24
  5. Step 5: Solve for x
    x = 23,255,490.24/6,492.96
  6. Step 6: Final answer
    x = 3,581.65

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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.