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Finding the Fourth Proportional to 6,905.94, 10,361.43 and 4,311.06

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Solution

The fourth proportional to 6,905.94, 10,361.43 and 4,311.06 is: 6,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.94 : 10,361.43 = 4,311.06 : x
  2. Step 2: Convert to fraction form
    6,905.94/10,361.43 = 4,311.06/x
  3. Step 3: Cross multiply
    6,905.94x = 10,361.43 × 4,311.06
  4. Step 4: Simplify right side
    6,905.94x = 44,668,746.42
  5. Step 5: Solve for x
    x = 44,668,746.42/6,905.94
  6. Step 6: Final answer
    x = 6,468.16

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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.