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Finding the Fourth Proportional to 10,448.88, 14,419.17 and 6,359.14

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Solution

The fourth proportional to 10,448.88, 14,419.17 and 6,359.14 is: 8,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.88 : 14,419.17 = 6,359.14 : x
  2. Step 2: Convert to fraction form
    10,448.88/14,419.17 = 6,359.14/x
  3. Step 3: Cross multiply
    10,448.88x = 14,419.17 × 6,359.14
  4. Step 4: Simplify right side
    10,448.88x = 91,693,514.89
  5. Step 5: Solve for x
    x = 91,693,514.89/10,448.88
  6. Step 6: Final answer
    x = 8,775.44

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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.