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Finding the Fourth Proportional to 23,843, 35,752.92 and 7,199.84

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Solution

The fourth proportional to 23,843, 35,752.92 and 7,199.84 is: 10,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843 : 35,752.92 = 7,199.84 : x
  2. Step 2: Convert to fraction form
    23,843/35,752.92 = 7,199.84/x
  3. Step 3: Cross multiply
    23,843x = 35,752.92 × 7,199.84
  4. Step 4: Simplify right side
    23,843x = 257,415,303.53
  5. Step 5: Solve for x
    x = 257,415,303.53/23,843
  6. Step 6: Final answer
    x = 10,796.26

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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.