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Finding the Fourth Proportional to 7,551, 11,326.50 and 2,079

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Solution

The fourth proportional to 7,551, 11,326.50 and 2,079 is: 3,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551 : 11,326.50 = 2,079 : x
  2. Step 2: Convert to fraction form
    7,551/11,326.50 = 2,079/x
  3. Step 3: Cross multiply
    7,551x = 11,326.50 × 2,079
  4. Step 4: Simplify right side
    7,551x = 23,547,793.50
  5. Step 5: Solve for x
    x = 23,547,793.50/7,551
  6. Step 6: Final answer
    x = 3,118.50

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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.