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Finding the Fourth Proportional to 6,047.40, 9,051.66 and 3,121.68

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Solution

The fourth proportional to 6,047.40, 9,051.66 and 3,121.68 is: 4,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.40 : 9,051.66 = 3,121.68 : x
  2. Step 2: Convert to fraction form
    6,047.40/9,051.66 = 3,121.68/x
  3. Step 3: Cross multiply
    6,047.40x = 9,051.66 × 3,121.68
  4. Step 4: Simplify right side
    6,047.40x = 28,256,385.99
  5. Step 5: Solve for x
    x = 28,256,385.99/6,047.40
  6. Step 6: Final answer
    x = 4,672.49

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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.