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Finding the Fourth Proportional to 6,538.48, 9,788.12 and 4,065.52

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Solution

The fourth proportional to 6,538.48, 9,788.12 and 4,065.52 is: 6,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.48 : 9,788.12 = 4,065.52 : x
  2. Step 2: Convert to fraction form
    6,538.48/9,788.12 = 4,065.52/x
  3. Step 3: Cross multiply
    6,538.48x = 9,788.12 × 4,065.52
  4. Step 4: Simplify right side
    6,538.48x = 39,793,797.62
  5. Step 5: Solve for x
    x = 39,793,797.62/6,538.48
  6. Step 6: Final answer
    x = 6,086.09

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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.