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Finding the Fourth Proportional to 9,633.04, 14,450.10 and 2,707

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Solution

The fourth proportional to 9,633.04, 14,450.10 and 2,707 is: 4,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.04 : 14,450.10 = 2,707 : x
  2. Step 2: Convert to fraction form
    9,633.04/14,450.10 = 2,707/x
  3. Step 3: Cross multiply
    9,633.04x = 14,450.10 × 2,707
  4. Step 4: Simplify right side
    9,633.04x = 39,116,420.70
  5. Step 5: Solve for x
    x = 39,116,420.70/9,633.04
  6. Step 6: Final answer
    x = 4,060.65

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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.