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Finding the Fourth Proportional to 15,805.87, 23,705.16 and 5,946.14

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Solution

The fourth proportional to 15,805.87, 23,705.16 and 5,946.14 is: 8,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.87 : 23,705.16 = 5,946.14 : x
  2. Step 2: Convert to fraction form
    15,805.87/23,705.16 = 5,946.14/x
  3. Step 3: Cross multiply
    15,805.87x = 23,705.16 × 5,946.14
  4. Step 4: Simplify right side
    15,805.87x = 140,954,237.05
  5. Step 5: Solve for x
    x = 140,954,237.05/15,805.87
  6. Step 6: Final answer
    x = 8,917.84

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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.