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Finding the Fourth Proportional to 10,649.88, 14,696 and 6,174.24

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Solution

The fourth proportional to 10,649.88, 14,696 and 6,174.24 is: 8,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.88 : 14,696 = 6,174.24 : x
  2. Step 2: Convert to fraction form
    10,649.88/14,696 = 6,174.24/x
  3. Step 3: Cross multiply
    10,649.88x = 14,696 × 6,174.24
  4. Step 4: Simplify right side
    10,649.88x = 90,736,631.04
  5. Step 5: Solve for x
    x = 90,736,631.04/10,649.88
  6. Step 6: Final answer
    x = 8,519.97

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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.