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Finding the Fourth Proportional to 11,654.80, 16,083.48 and 6,349.62

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Solution

The fourth proportional to 11,654.80, 16,083.48 and 6,349.62 is: 8,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.80 : 16,083.48 = 6,349.62 : x
  2. Step 2: Convert to fraction form
    11,654.80/16,083.48 = 6,349.62/x
  3. Step 3: Cross multiply
    11,654.80x = 16,083.48 × 6,349.62
  4. Step 4: Simplify right side
    11,654.80x = 102,124,034.69
  5. Step 5: Solve for x
    x = 102,124,034.69/11,654.80
  6. Step 6: Final answer
    x = 8,762.40

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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.