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Finding the Fourth Proportional to 9,514.96, 14,266.96 and 3,670.80

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Solution

The fourth proportional to 9,514.96, 14,266.96 and 3,670.80 is: 5,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.96 : 14,266.96 = 3,670.80 : x
  2. Step 2: Convert to fraction form
    9,514.96/14,266.96 = 3,670.80/x
  3. Step 3: Cross multiply
    9,514.96x = 14,266.96 × 3,670.80
  4. Step 4: Simplify right side
    9,514.96x = 52,371,156.77
  5. Step 5: Solve for x
    x = 52,371,156.77/9,514.96
  6. Step 6: Final answer
    x = 5,504.09

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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.