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Finding the Fourth Proportional to 6,434.67, 9,653.67 and 1,817.67

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Solution

The fourth proportional to 6,434.67, 9,653.67 and 1,817.67 is: 2,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.67 : 9,653.67 = 1,817.67 : x
  2. Step 2: Convert to fraction form
    6,434.67/9,653.67 = 1,817.67/x
  3. Step 3: Cross multiply
    6,434.67x = 9,653.67 × 1,817.67
  4. Step 4: Simplify right side
    6,434.67x = 17,547,186.35
  5. Step 5: Solve for x
    x = 17,547,186.35/6,434.67
  6. Step 6: Final answer
    x = 2,726.98

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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.