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Finding the Fourth Proportional to 9,680.04, 14,520.60 and 2,754

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Solution

The fourth proportional to 9,680.04, 14,520.60 and 2,754 is: 4,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.04 : 14,520.60 = 2,754 : x
  2. Step 2: Convert to fraction form
    9,680.04/14,520.60 = 2,754/x
  3. Step 3: Cross multiply
    9,680.04x = 14,520.60 × 2,754
  4. Step 4: Simplify right side
    9,680.04x = 39,989,732.40
  5. Step 5: Solve for x
    x = 39,989,732.40/9,680.04
  6. Step 6: Final answer
    x = 4,131.15

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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.