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Finding the Fourth Proportional to 9,707.50, 14,563.68 and 2,782

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Solution

The fourth proportional to 9,707.50, 14,563.68 and 2,782 is: 4,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.50 : 14,563.68 = 2,782 : x
  2. Step 2: Convert to fraction form
    9,707.50/14,563.68 = 2,782/x
  3. Step 3: Cross multiply
    9,707.50x = 14,563.68 × 2,782
  4. Step 4: Simplify right side
    9,707.50x = 40,516,157.76
  5. Step 5: Solve for x
    x = 40,516,157.76/9,707.50
  6. Step 6: Final answer
    x = 4,173.70

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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.