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Finding the Fourth Proportional to 16,464.28, 22,728 and 10,503.76

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Solution

The fourth proportional to 16,464.28, 22,728 and 10,503.76 is: 14,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.28 : 22,728 = 10,503.76 : x
  2. Step 2: Convert to fraction form
    16,464.28/22,728 = 10,503.76/x
  3. Step 3: Cross multiply
    16,464.28x = 22,728 × 10,503.76
  4. Step 4: Simplify right side
    16,464.28x = 238,729,457.28
  5. Step 5: Solve for x
    x = 238,729,457.28/16,464.28
  6. Step 6: Final answer
    x = 14,499.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.