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Finding the Fourth Proportional to 8,441.60, 12,652.14 and 5,977.14

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Solution

The fourth proportional to 8,441.60, 12,652.14 and 5,977.14 is: 8,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.60 : 12,652.14 = 5,977.14 : x
  2. Step 2: Convert to fraction form
    8,441.60/12,652.14 = 5,977.14/x
  3. Step 3: Cross multiply
    8,441.60x = 12,652.14 × 5,977.14
  4. Step 4: Simplify right side
    8,441.60x = 75,623,612.08
  5. Step 5: Solve for x
    x = 75,623,612.08/8,441.60
  6. Step 6: Final answer
    x = 8,958.45

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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.