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Finding the Fourth Proportional to 14,466.48, 19,964.28 and 8,178.48

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Solution

The fourth proportional to 14,466.48, 19,964.28 and 8,178.48 is: 11,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.48 : 19,964.28 = 8,178.48 : x
  2. Step 2: Convert to fraction form
    14,466.48/19,964.28 = 8,178.48/x
  3. Step 3: Cross multiply
    14,466.48x = 19,964.28 × 8,178.48
  4. Step 4: Simplify right side
    14,466.48x = 163,277,464.69
  5. Step 5: Solve for x
    x = 163,277,464.69/14,466.48
  6. Step 6: Final answer
    x = 11,286.61

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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.