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Finding the Fourth Proportional to 16,049.84, 24,077.76 and 7,285.36

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Solution

The fourth proportional to 16,049.84, 24,077.76 and 7,285.36 is: 10,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.84 : 24,077.76 = 7,285.36 : x
  2. Step 2: Convert to fraction form
    16,049.84/24,077.76 = 7,285.36/x
  3. Step 3: Cross multiply
    16,049.84x = 24,077.76 × 7,285.36
  4. Step 4: Simplify right side
    16,049.84x = 175,415,149.59
  5. Step 5: Solve for x
    x = 175,415,149.59/16,049.84
  6. Step 6: Final answer
    x = 10,929.40

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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.