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Finding the Fourth Proportional to 9,538.60, 14,310.90 and 4,608.40

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Solution

The fourth proportional to 9,538.60, 14,310.90 and 4,608.40 is: 6,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.60 : 14,310.90 = 4,608.40 : x
  2. Step 2: Convert to fraction form
    9,538.60/14,310.90 = 4,608.40/x
  3. Step 3: Cross multiply
    9,538.60x = 14,310.90 × 4,608.40
  4. Step 4: Simplify right side
    9,538.60x = 65,950,351.56
  5. Step 5: Solve for x
    x = 65,950,351.56/9,538.60
  6. Step 6: Final answer
    x = 6,914.05

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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.