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Finding the Fourth Proportional to 9,182.25, 13,774.10 and 3,026.25

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Solution

The fourth proportional to 9,182.25, 13,774.10 and 3,026.25 is: 4,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.25 : 13,774.10 = 3,026.25 : x
  2. Step 2: Convert to fraction form
    9,182.25/13,774.10 = 3,026.25/x
  3. Step 3: Cross multiply
    9,182.25x = 13,774.10 × 3,026.25
  4. Step 4: Simplify right side
    9,182.25x = 41,683,854.99
  5. Step 5: Solve for x
    x = 41,683,854.99/9,182.25
  6. Step 6: Final answer
    x = 4,539.61

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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.