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Finding the Fourth Proportional to 6,817.76, 10,224.60 and 2,434.22

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Solution

The fourth proportional to 6,817.76, 10,224.60 and 2,434.22 is: 3,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.76 : 10,224.60 = 2,434.22 : x
  2. Step 2: Convert to fraction form
    6,817.76/10,224.60 = 2,434.22/x
  3. Step 3: Cross multiply
    6,817.76x = 10,224.60 × 2,434.22
  4. Step 4: Simplify right side
    6,817.76x = 24,888,925.81
  5. Step 5: Solve for x
    x = 24,888,925.81/6,817.76
  6. Step 6: Final answer
    x = 3,650.60

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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.