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Finding the Fourth Proportional to 9,514.40, 14,274 and 7,682.16

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Solution

The fourth proportional to 9,514.40, 14,274 and 7,682.16 is: 11,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.40 : 14,274 = 7,682.16 : x
  2. Step 2: Convert to fraction form
    9,514.40/14,274 = 7,682.16/x
  3. Step 3: Cross multiply
    9,514.40x = 14,274 × 7,682.16
  4. Step 4: Simplify right side
    9,514.40x = 109,655,151.84
  5. Step 5: Solve for x
    x = 109,655,151.84/9,514.40
  6. Step 6: Final answer
    x = 11,525.18

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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.