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Finding the Fourth Proportional to 9,489.60, 14,245.20 and 5,596.20

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Solution

The fourth proportional to 9,489.60, 14,245.20 and 5,596.20 is: 8,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.60 : 14,245.20 = 5,596.20 : x
  2. Step 2: Convert to fraction form
    9,489.60/14,245.20 = 5,596.20/x
  3. Step 3: Cross multiply
    9,489.60x = 14,245.20 × 5,596.20
  4. Step 4: Simplify right side
    9,489.60x = 79,718,988.24
  5. Step 5: Solve for x
    x = 79,718,988.24/9,489.60
  6. Step 6: Final answer
    x = 8,400.67

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Half scale
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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.