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Finding the Fourth Proportional to 35,797.96, 53,699.97 and 10,838.20

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Solution

The fourth proportional to 35,797.96, 53,699.97 and 10,838.20 is: 16,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.96 : 53,699.97 = 10,838.20 : x
  2. Step 2: Convert to fraction form
    35,797.96/53,699.97 = 10,838.20/x
  3. Step 3: Cross multiply
    35,797.96x = 53,699.97 × 10,838.20
  4. Step 4: Simplify right side
    35,797.96x = 582,011,014.85
  5. Step 5: Solve for x
    x = 582,011,014.85/35,797.96
  6. Step 6: Final answer
    x = 16,258.22

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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.