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Finding the Fourth Proportional to 15,735.08, 23,619 and 6,976.14

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Solution

The fourth proportional to 15,735.08, 23,619 and 6,976.14 is: 10,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.08 : 23,619 = 6,976.14 : x
  2. Step 2: Convert to fraction form
    15,735.08/23,619 = 6,976.14/x
  3. Step 3: Cross multiply
    15,735.08x = 23,619 × 6,976.14
  4. Step 4: Simplify right side
    15,735.08x = 164,769,450.66
  5. Step 5: Solve for x
    x = 164,769,450.66/15,735.08
  6. Step 6: Final answer
    x = 10,471.47

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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.