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Finding the Fourth Proportional to 9,422.63, 14,140.42 and 3,266.63

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Solution

The fourth proportional to 9,422.63, 14,140.42 and 3,266.63 is: 4,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.63 : 14,140.42 = 3,266.63 : x
  2. Step 2: Convert to fraction form
    9,422.63/14,140.42 = 3,266.63/x
  3. Step 3: Cross multiply
    9,422.63x = 14,140.42 × 3,266.63
  4. Step 4: Simplify right side
    9,422.63x = 46,191,441.32
  5. Step 5: Solve for x
    x = 46,191,441.32/9,422.63
  6. Step 6: Final answer
    x = 4,902.18

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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.