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Finding the Fourth Proportional to 6,527.50, 9,793.06 and 1,910.50

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Solution

The fourth proportional to 6,527.50, 9,793.06 and 1,910.50 is: 2,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.50 : 9,793.06 = 1,910.50 : x
  2. Step 2: Convert to fraction form
    6,527.50/9,793.06 = 1,910.50/x
  3. Step 3: Cross multiply
    6,527.50x = 9,793.06 × 1,910.50
  4. Step 4: Simplify right side
    6,527.50x = 18,709,641.13
  5. Step 5: Solve for x
    x = 18,709,641.13/6,527.50
  6. Step 6: Final answer
    x = 2,866.28

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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.