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Finding the Fourth Proportional to 7,131.86, 10,649.08 and 6,386.66

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Solution

The fourth proportional to 7,131.86, 10,649.08 and 6,386.66 is: 9,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.86 : 10,649.08 = 6,386.66 : x
  2. Step 2: Convert to fraction form
    7,131.86/10,649.08 = 6,386.66/x
  3. Step 3: Cross multiply
    7,131.86x = 10,649.08 × 6,386.66
  4. Step 4: Simplify right side
    7,131.86x = 68,012,053.27
  5. Step 5: Solve for x
    x = 68,012,053.27/7,131.86
  6. Step 6: Final answer
    x = 9,536.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.