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Finding the Fourth Proportional to 9,305.42, 13,941.72 and 4,913.18

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Solution

The fourth proportional to 9,305.42, 13,941.72 and 4,913.18 is: 7,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.42 : 13,941.72 = 4,913.18 : x
  2. Step 2: Convert to fraction form
    9,305.42/13,941.72 = 4,913.18/x
  3. Step 3: Cross multiply
    9,305.42x = 13,941.72 × 4,913.18
  4. Step 4: Simplify right side
    9,305.42x = 68,498,179.87
  5. Step 5: Solve for x
    x = 68,498,179.87/9,305.42
  6. Step 6: Final answer
    x = 7,361.11

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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.