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Finding the Fourth Proportional to 13,680.96, 18,881.48 and 8,377.08

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Solution

The fourth proportional to 13,680.96, 18,881.48 and 8,377.08 is: 11,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.96 : 18,881.48 = 8,377.08 : x
  2. Step 2: Convert to fraction form
    13,680.96/18,881.48 = 8,377.08/x
  3. Step 3: Cross multiply
    13,680.96x = 18,881.48 × 8,377.08
  4. Step 4: Simplify right side
    13,680.96x = 158,171,668.48
  5. Step 5: Solve for x
    x = 158,171,668.48/13,680.96
  6. Step 6: Final answer
    x = 11,561.45

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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.