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Finding the Fourth Proportional to 9,107.40, 13,654.20 and 3,559.98

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Solution

The fourth proportional to 9,107.40, 13,654.20 and 3,559.98 is: 5,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.40 : 13,654.20 = 3,559.98 : x
  2. Step 2: Convert to fraction form
    9,107.40/13,654.20 = 3,559.98/x
  3. Step 3: Cross multiply
    9,107.40x = 13,654.20 × 3,559.98
  4. Step 4: Simplify right side
    9,107.40x = 48,608,678.92
  5. Step 5: Solve for x
    x = 48,608,678.92/9,107.40
  6. Step 6: Final answer
    x = 5,337.27

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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.