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Finding the Fourth Proportional to 6,294.30, 9,452.31 and 4,644.93

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Solution

The fourth proportional to 6,294.30, 9,452.31 and 4,644.93 is: 6,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.30 : 9,452.31 = 4,644.93 : x
  2. Step 2: Convert to fraction form
    6,294.30/9,452.31 = 4,644.93/x
  3. Step 3: Cross multiply
    6,294.30x = 9,452.31 × 4,644.93
  4. Step 4: Simplify right side
    6,294.30x = 43,905,318.29
  5. Step 5: Solve for x
    x = 43,905,318.29/6,294.30
  6. Step 6: Final answer
    x = 6,975.41

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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.