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Finding the Fourth Proportional to 16,509.48, 24,764.22 and 7,281.96

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Solution

The fourth proportional to 16,509.48, 24,764.22 and 7,281.96 is: 10,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.48 : 24,764.22 = 7,281.96 : x
  2. Step 2: Convert to fraction form
    16,509.48/24,764.22 = 7,281.96/x
  3. Step 3: Cross multiply
    16,509.48x = 24,764.22 × 7,281.96
  4. Step 4: Simplify right side
    16,509.48x = 180,332,059.47
  5. Step 5: Solve for x
    x = 180,332,059.47/16,509.48
  6. Step 6: Final answer
    x = 10,922.94

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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.