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Finding the Fourth Proportional to 18,461.10, 27,695.28 and 6,774.42

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Solution

The fourth proportional to 18,461.10, 27,695.28 and 6,774.42 is: 10,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.10 : 27,695.28 = 6,774.42 : x
  2. Step 2: Convert to fraction form
    18,461.10/27,695.28 = 6,774.42/x
  3. Step 3: Cross multiply
    18,461.10x = 27,695.28 × 6,774.42
  4. Step 4: Simplify right side
    18,461.10x = 187,619,458.74
  5. Step 5: Solve for x
    x = 187,619,458.74/18,461.10
  6. Step 6: Final answer
    x = 10,162.96

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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.