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Finding the Fourth Proportional to 7,074.60, 10,609.20 and 2,142.60

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Solution

The fourth proportional to 7,074.60, 10,609.20 and 2,142.60 is: 3,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.60 : 10,609.20 = 2,142.60 : x
  2. Step 2: Convert to fraction form
    7,074.60/10,609.20 = 2,142.60/x
  3. Step 3: Cross multiply
    7,074.60x = 10,609.20 × 2,142.60
  4. Step 4: Simplify right side
    7,074.60x = 22,731,271.92
  5. Step 5: Solve for x
    x = 22,731,271.92/7,074.60
  6. Step 6: Final answer
    x = 3,213.08

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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.