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Finding the Fourth Proportional to 9,708, 14,562.14 and 2,782.50

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Solution

The fourth proportional to 9,708, 14,562.14 and 2,782.50 is: 4,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708 : 14,562.14 = 2,782.50 : x
  2. Step 2: Convert to fraction form
    9,708/14,562.14 = 2,782.50/x
  3. Step 3: Cross multiply
    9,708x = 14,562.14 × 2,782.50
  4. Step 4: Simplify right side
    9,708x = 40,519,140.64
  5. Step 5: Solve for x
    x = 40,519,140.64/9,708
  6. Step 6: Final answer
    x = 4,173.79

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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.