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Finding the Fourth Proportional to 16,309.76, 24,467.64 and 6,949.76

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Solution

The fourth proportional to 16,309.76, 24,467.64 and 6,949.76 is: 10,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.76 : 24,467.64 = 6,949.76 : x
  2. Step 2: Convert to fraction form
    16,309.76/24,467.64 = 6,949.76/x
  3. Step 3: Cross multiply
    16,309.76x = 24,467.64 × 6,949.76
  4. Step 4: Simplify right side
    16,309.76x = 170,044,225.77
  5. Step 5: Solve for x
    x = 170,044,225.77/16,309.76
  6. Step 6: Final answer
    x = 10,425.92

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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.