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Finding the Fourth Proportional to 20,647.64, 30,974.94 and 9,549.80

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Solution

The fourth proportional to 20,647.64, 30,974.94 and 9,549.80 is: 14,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.64 : 30,974.94 = 9,549.80 : x
  2. Step 2: Convert to fraction form
    20,647.64/30,974.94 = 9,549.80/x
  3. Step 3: Cross multiply
    20,647.64x = 30,974.94 × 9,549.80
  4. Step 4: Simplify right side
    20,647.64x = 295,804,482.01
  5. Step 5: Solve for x
    x = 295,804,482.01/20,647.64
  6. Step 6: Final answer
    x = 14,326.31

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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.