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Finding the Fourth Proportional to 14,228.73, 19,636.73 and 7,856.54

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Solution

The fourth proportional to 14,228.73, 19,636.73 and 7,856.54 is: 10,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.73 : 19,636.73 = 7,856.54 : x
  2. Step 2: Convert to fraction form
    14,228.73/19,636.73 = 7,856.54/x
  3. Step 3: Cross multiply
    14,228.73x = 19,636.73 × 7,856.54
  4. Step 4: Simplify right side
    14,228.73x = 154,276,617.25
  5. Step 5: Solve for x
    x = 154,276,617.25/14,228.73
  6. Step 6: Final answer
    x = 10,842.61

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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.