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Finding the Fourth Proportional to 14,294.42, 21,432.94 and 6,395.46

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Solution

The fourth proportional to 14,294.42, 21,432.94 and 6,395.46 is: 9,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.42 : 21,432.94 = 6,395.46 : x
  2. Step 2: Convert to fraction form
    14,294.42/21,432.94 = 6,395.46/x
  3. Step 3: Cross multiply
    14,294.42x = 21,432.94 × 6,395.46
  4. Step 4: Simplify right side
    14,294.42x = 137,073,531.49
  5. Step 5: Solve for x
    x = 137,073,531.49/14,294.42
  6. Step 6: Final answer
    x = 9,589.31

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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.