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Finding the Fourth Proportional to 6,462.49, 9,693.78 and 3,539.20

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Solution

The fourth proportional to 6,462.49, 9,693.78 and 3,539.20 is: 5,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.49 : 9,693.78 = 3,539.20 : x
  2. Step 2: Convert to fraction form
    6,462.49/9,693.78 = 3,539.20/x
  3. Step 3: Cross multiply
    6,462.49x = 9,693.78 × 3,539.20
  4. Step 4: Simplify right side
    6,462.49x = 34,308,226.18
  5. Step 5: Solve for x
    x = 34,308,226.18/6,462.49
  6. Step 6: Final answer
    x = 5,308.82

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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.