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Finding the Fourth Proportional to 7,825.62, 11,735.18 and 2,899.20

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Solution

The fourth proportional to 7,825.62, 11,735.18 and 2,899.20 is: 4,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.62 : 11,735.18 = 2,899.20 : x
  2. Step 2: Convert to fraction form
    7,825.62/11,735.18 = 2,899.20/x
  3. Step 3: Cross multiply
    7,825.62x = 11,735.18 × 2,899.20
  4. Step 4: Simplify right side
    7,825.62x = 34,022,633.86
  5. Step 5: Solve for x
    x = 34,022,633.86/7,825.62
  6. Step 6: Final answer
    x = 4,347.60

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1.5x scale

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.