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Finding the Fourth Proportional to 11,830.88, 16,333.18 and 8,641

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Solution

The fourth proportional to 11,830.88, 16,333.18 and 8,641 is: 11,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.88 : 16,333.18 = 8,641 : x
  2. Step 2: Convert to fraction form
    11,830.88/16,333.18 = 8,641/x
  3. Step 3: Cross multiply
    11,830.88x = 16,333.18 × 8,641
  4. Step 4: Simplify right side
    11,830.88x = 141,135,008.38
  5. Step 5: Solve for x
    x = 141,135,008.38/11,830.88
  6. Step 6: Final answer
    x = 11,929.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.