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Finding the Fourth Proportional to 14,344, 19,777.68 and 10,514.32

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Solution

The fourth proportional to 14,344, 19,777.68 and 10,514.32 is: 14,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344 : 19,777.68 = 10,514.32 : x
  2. Step 2: Convert to fraction form
    14,344/19,777.68 = 10,514.32/x
  3. Step 3: Cross multiply
    14,344x = 19,777.68 × 10,514.32
  4. Step 4: Simplify right side
    14,344x = 207,948,856.38
  5. Step 5: Solve for x
    x = 207,948,856.38/14,344
  6. Step 6: Final answer
    x = 14,497.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.