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Finding the Fourth Proportional to 12,644.98, 18,952.68 and 9,514.94

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Solution

The fourth proportional to 12,644.98, 18,952.68 and 9,514.94 is: 14,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.98 : 18,952.68 = 9,514.94 : x
  2. Step 2: Convert to fraction form
    12,644.98/18,952.68 = 9,514.94/x
  3. Step 3: Cross multiply
    12,644.98x = 18,952.68 × 9,514.94
  4. Step 4: Simplify right side
    12,644.98x = 180,333,613.04
  5. Step 5: Solve for x
    x = 180,333,613.04/12,644.98
  6. Step 6: Final answer
    x = 14,261.28

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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.