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Finding the Fourth Proportional to 6,206.69, 9,301.35 and 4,813.49

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Solution

The fourth proportional to 6,206.69, 9,301.35 and 4,813.49 is: 7,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.69 : 9,301.35 = 4,813.49 : x
  2. Step 2: Convert to fraction form
    6,206.69/9,301.35 = 4,813.49/x
  3. Step 3: Cross multiply
    6,206.69x = 9,301.35 × 4,813.49
  4. Step 4: Simplify right side
    6,206.69x = 44,771,955.21
  5. Step 5: Solve for x
    x = 44,771,955.21/6,206.69
  6. Step 6: Final answer
    x = 7,213.50

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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.