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Finding the Fourth Proportional to 7,241.60, 10,862.40 and 2,311.60

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Solution

The fourth proportional to 7,241.60, 10,862.40 and 2,311.60 is: 3,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.60 : 10,862.40 = 2,311.60 : x
  2. Step 2: Convert to fraction form
    7,241.60/10,862.40 = 2,311.60/x
  3. Step 3: Cross multiply
    7,241.60x = 10,862.40 × 2,311.60
  4. Step 4: Simplify right side
    7,241.60x = 25,109,523.84
  5. Step 5: Solve for x
    x = 25,109,523.84/7,241.60
  6. Step 6: Final answer
    x = 3,467.40

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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.