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Finding the Fourth Proportional to 6,361.76, 9,540.78 and 2,465.24

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Solution

The fourth proportional to 6,361.76, 9,540.78 and 2,465.24 is: 3,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.76 : 9,540.78 = 2,465.24 : x
  2. Step 2: Convert to fraction form
    6,361.76/9,540.78 = 2,465.24/x
  3. Step 3: Cross multiply
    6,361.76x = 9,540.78 × 2,465.24
  4. Step 4: Simplify right side
    6,361.76x = 23,520,312.49
  5. Step 5: Solve for x
    x = 23,520,312.49/6,361.76
  6. Step 6: Final answer
    x = 3,697.14

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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.