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Finding the Fourth Proportional to 17,856.21, 26,774.96 and 6,166.65

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Solution

The fourth proportional to 17,856.21, 26,774.96 and 6,166.65 is: 9,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.21 : 26,774.96 = 6,166.65 : x
  2. Step 2: Convert to fraction form
    17,856.21/26,774.96 = 6,166.65/x
  3. Step 3: Cross multiply
    17,856.21x = 26,774.96 × 6,166.65
  4. Step 4: Simplify right side
    17,856.21x = 165,111,776.25
  5. Step 5: Solve for x
    x = 165,111,776.25/17,856.21
  6. Step 6: Final answer
    x = 9,246.74

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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.