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Finding the Fourth Proportional to 16,057.60, 24,086.40 and 6,822.40

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Solution

The fourth proportional to 16,057.60, 24,086.40 and 6,822.40 is: 10,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.60 : 24,086.40 = 6,822.40 : x
  2. Step 2: Convert to fraction form
    16,057.60/24,086.40 = 6,822.40/x
  3. Step 3: Cross multiply
    16,057.60x = 24,086.40 × 6,822.40
  4. Step 4: Simplify right side
    16,057.60x = 164,327,055.36
  5. Step 5: Solve for x
    x = 164,327,055.36/16,057.60
  6. Step 6: Final answer
    x = 10,233.60

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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.