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Finding the Fourth Proportional to 9,689.44, 14,514.43 and 8,882.14

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Solution

The fourth proportional to 9,689.44, 14,514.43 and 8,882.14 is: 13,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.44 : 14,514.43 = 8,882.14 : x
  2. Step 2: Convert to fraction form
    9,689.44/14,514.43 = 8,882.14/x
  3. Step 3: Cross multiply
    9,689.44x = 14,514.43 × 8,882.14
  4. Step 4: Simplify right side
    9,689.44x = 128,919,199.28
  5. Step 5: Solve for x
    x = 128,919,199.28/9,689.44
  6. Step 6: Final answer
    x = 13,305.12

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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.