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Finding the Fourth Proportional to 6,503.96, 9,756.18 and 1,823.96

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Solution

The fourth proportional to 6,503.96, 9,756.18 and 1,823.96 is: 2,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.96 : 9,756.18 = 1,823.96 : x
  2. Step 2: Convert to fraction form
    6,503.96/9,756.18 = 1,823.96/x
  3. Step 3: Cross multiply
    6,503.96x = 9,756.18 × 1,823.96
  4. Step 4: Simplify right side
    6,503.96x = 17,794,882.07
  5. Step 5: Solve for x
    x = 17,794,882.07/6,503.96
  6. Step 6: Final answer
    x = 2,736.01

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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.