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Finding the Fourth Proportional to 9,660, 14,492.16 and 3,504

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Solution

The fourth proportional to 9,660, 14,492.16 and 3,504 is: 5,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 14,492.16 = 3,504 : x
  2. Step 2: Convert to fraction form
    9,660/14,492.16 = 3,504/x
  3. Step 3: Cross multiply
    9,660x = 14,492.16 × 3,504
  4. Step 4: Simplify right side
    9,660x = 50,780,528.64
  5. Step 5: Solve for x
    x = 50,780,528.64/9,660
  6. Step 6: Final answer
    x = 5,256.78

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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.