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Finding the Fourth Proportional to 18,466.74, 27,703.74 and 6,780.06

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Solution

The fourth proportional to 18,466.74, 27,703.74 and 6,780.06 is: 10,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,466.74 : 27,703.74 = 6,780.06 : x
  2. Step 2: Convert to fraction form
    18,466.74/27,703.74 = 6,780.06/x
  3. Step 3: Cross multiply
    18,466.74x = 27,703.74 × 6,780.06
  4. Step 4: Simplify right side
    18,466.74x = 187,833,019.42
  5. Step 5: Solve for x
    x = 187,833,019.42/18,466.74
  6. Step 6: Final answer
    x = 10,171.42

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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.