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Finding the Fourth Proportional to 6,535.90, 9,789.45 and 3,454.30

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Solution

The fourth proportional to 6,535.90, 9,789.45 and 3,454.30 is: 5,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.90 : 9,789.45 = 3,454.30 : x
  2. Step 2: Convert to fraction form
    6,535.90/9,789.45 = 3,454.30/x
  3. Step 3: Cross multiply
    6,535.90x = 9,789.45 × 3,454.30
  4. Step 4: Simplify right side
    6,535.90x = 33,815,697.14
  5. Step 5: Solve for x
    x = 33,815,697.14/6,535.90
  6. Step 6: Final answer
    x = 5,173.84

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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.