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Finding the Fourth Proportional to 12,964, 19,448.88 and 4,756

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Solution

The fourth proportional to 12,964, 19,448.88 and 4,756 is: 7,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 19,448.88 = 4,756 : x
  2. Step 2: Convert to fraction form
    12,964/19,448.88 = 4,756/x
  3. Step 3: Cross multiply
    12,964x = 19,448.88 × 4,756
  4. Step 4: Simplify right side
    12,964x = 92,498,873.28
  5. Step 5: Solve for x
    x = 92,498,873.28/12,964
  6. Step 6: Final answer
    x = 7,135.06

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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.