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Finding the Fourth Proportional to 13,178, 18,191.58 and 8,404.35

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Solution

The fourth proportional to 13,178, 18,191.58 and 8,404.35 is: 11,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 18,191.58 = 8,404.35 : x
  2. Step 2: Convert to fraction form
    13,178/18,191.58 = 8,404.35/x
  3. Step 3: Cross multiply
    13,178x = 18,191.58 × 8,404.35
  4. Step 4: Simplify right side
    13,178x = 152,888,338.88
  5. Step 5: Solve for x
    x = 152,888,338.88/13,178
  6. Step 6: Final answer
    x = 11,601.79

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Double scale
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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.