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Finding the Fourth Proportional to 8,241.30, 12,380.16 and 4,956.30

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Solution

The fourth proportional to 8,241.30, 12,380.16 and 4,956.30 is: 7,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.30 : 12,380.16 = 4,956.30 : x
  2. Step 2: Convert to fraction form
    8,241.30/12,380.16 = 4,956.30/x
  3. Step 3: Cross multiply
    8,241.30x = 12,380.16 × 4,956.30
  4. Step 4: Simplify right side
    8,241.30x = 61,359,787.01
  5. Step 5: Solve for x
    x = 61,359,787.01/8,241.30
  6. Step 6: Final answer
    x = 7,445.40

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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.