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Finding the Fourth Proportional to 6,318.42, 9,476.88 and 1,938.90

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Solution

The fourth proportional to 6,318.42, 9,476.88 and 1,938.90 is: 2,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.42 : 9,476.88 = 1,938.90 : x
  2. Step 2: Convert to fraction form
    6,318.42/9,476.88 = 1,938.90/x
  3. Step 3: Cross multiply
    6,318.42x = 9,476.88 × 1,938.90
  4. Step 4: Simplify right side
    6,318.42x = 18,374,722.63
  5. Step 5: Solve for x
    x = 18,374,722.63/6,318.42
  6. Step 6: Final answer
    x = 2,908.12

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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.