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Finding the Fourth Proportional to 15,858, 23,792.16 and 5,998.08

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Solution

The fourth proportional to 15,858, 23,792.16 and 5,998.08 is: 8,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858 : 23,792.16 = 5,998.08 : x
  2. Step 2: Convert to fraction form
    15,858/23,792.16 = 5,998.08/x
  3. Step 3: Cross multiply
    15,858x = 23,792.16 × 5,998.08
  4. Step 4: Simplify right side
    15,858x = 142,707,279.05
  5. Step 5: Solve for x
    x = 142,707,279.05/15,858
  6. Step 6: Final answer
    x = 8,999.07

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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.