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Finding the Fourth Proportional to 6,425.30, 9,643.54 and 3,657.54

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Solution

The fourth proportional to 6,425.30, 9,643.54 and 3,657.54 is: 5,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.30 : 9,643.54 = 3,657.54 : x
  2. Step 2: Convert to fraction form
    6,425.30/9,643.54 = 3,657.54/x
  3. Step 3: Cross multiply
    6,425.30x = 9,643.54 × 3,657.54
  4. Step 4: Simplify right side
    6,425.30x = 35,271,633.29
  5. Step 5: Solve for x
    x = 35,271,633.29/6,425.30
  6. Step 6: Final answer
    x = 5,489.49

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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.