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Finding the Fourth Proportional to 7,131.48, 10,697.22 and 4,047

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Solution

The fourth proportional to 7,131.48, 10,697.22 and 4,047 is: 6,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.48 : 10,697.22 = 4,047 : x
  2. Step 2: Convert to fraction form
    7,131.48/10,697.22 = 4,047/x
  3. Step 3: Cross multiply
    7,131.48x = 10,697.22 × 4,047
  4. Step 4: Simplify right side
    7,131.48x = 43,291,649.34
  5. Step 5: Solve for x
    x = 43,291,649.34/7,131.48
  6. Step 6: Final answer
    x = 6,070.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.