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Finding the Fourth Proportional to 6,425.78, 9,632.11 and 3,646.59

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Solution

The fourth proportional to 6,425.78, 9,632.11 and 3,646.59 is: 5,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.78 : 9,632.11 = 3,646.59 : x
  2. Step 2: Convert to fraction form
    6,425.78/9,632.11 = 3,646.59/x
  3. Step 3: Cross multiply
    6,425.78x = 9,632.11 × 3,646.59
  4. Step 4: Simplify right side
    6,425.78x = 35,124,289.61
  5. Step 5: Solve for x
    x = 35,124,289.61/6,425.78
  6. Step 6: Final answer
    x = 5,466.15

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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.