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Finding the Fourth Proportional to 13,653.65, 20,488.44 and 5,755.68

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Solution

The fourth proportional to 13,653.65, 20,488.44 and 5,755.68 is: 8,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.65 : 20,488.44 = 5,755.68 : x
  2. Step 2: Convert to fraction form
    13,653.65/20,488.44 = 5,755.68/x
  3. Step 3: Cross multiply
    13,653.65x = 20,488.44 × 5,755.68
  4. Step 4: Simplify right side
    13,653.65x = 117,924,904.34
  5. Step 5: Solve for x
    x = 117,924,904.34/13,653.65
  6. Step 6: Final answer
    x = 8,636.88

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1.5x scale

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.