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Finding the Fourth Proportional to 11,673.84, 17,514 and 6,483.36

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Solution

The fourth proportional to 11,673.84, 17,514 and 6,483.36 is: 9,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.84 : 17,514 = 6,483.36 : x
  2. Step 2: Convert to fraction form
    11,673.84/17,514 = 6,483.36/x
  3. Step 3: Cross multiply
    11,673.84x = 17,514 × 6,483.36
  4. Step 4: Simplify right side
    11,673.84x = 113,549,567.04
  5. Step 5: Solve for x
    x = 113,549,567.04/11,673.84
  6. Step 6: Final answer
    x = 9,726.84

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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.