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Finding the Fourth Proportional to 5,669.64, 7,825.14 and 4,425.48

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Solution

The fourth proportional to 5,669.64, 7,825.14 and 4,425.48 is: 6,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.64 : 7,825.14 = 4,425.48 : x
  2. Step 2: Convert to fraction form
    5,669.64/7,825.14 = 4,425.48/x
  3. Step 3: Cross multiply
    5,669.64x = 7,825.14 × 4,425.48
  4. Step 4: Simplify right side
    5,669.64x = 34,630,000.57
  5. Step 5: Solve for x
    x = 34,630,000.57/5,669.64
  6. Step 6: Final answer
    x = 6,107.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.