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Finding the Fourth Proportional to 6,514.69, 8,997.69 and 4,415.17

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Solution

The fourth proportional to 6,514.69, 8,997.69 and 4,415.17 is: 6,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.69 : 8,997.69 = 4,415.17 : x
  2. Step 2: Convert to fraction form
    6,514.69/8,997.69 = 4,415.17/x
  3. Step 3: Cross multiply
    6,514.69x = 8,997.69 × 4,415.17
  4. Step 4: Simplify right side
    6,514.69x = 39,726,325.02
  5. Step 5: Solve for x
    x = 39,726,325.02/6,514.69
  6. Step 6: Final answer
    x = 6,097.96

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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.