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Finding the Fourth Proportional to 14,664, 21,996.64 and 4,276.64

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Solution

The fourth proportional to 14,664, 21,996.64 and 4,276.64 is: 6,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664 : 21,996.64 = 4,276.64 : x
  2. Step 2: Convert to fraction form
    14,664/21,996.64 = 4,276.64/x
  3. Step 3: Cross multiply
    14,664x = 21,996.64 × 4,276.64
  4. Step 4: Simplify right side
    14,664x = 94,071,710.49
  5. Step 5: Solve for x
    x = 94,071,710.49/14,664
  6. Step 6: Final answer
    x = 6,415.15

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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.