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Finding the Fourth Proportional to 10,146.22, 14,002.05 and 5,670.46

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Solution

The fourth proportional to 10,146.22, 14,002.05 and 5,670.46 is: 7,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.22 : 14,002.05 = 5,670.46 : x
  2. Step 2: Convert to fraction form
    10,146.22/14,002.05 = 5,670.46/x
  3. Step 3: Cross multiply
    10,146.22x = 14,002.05 × 5,670.46
  4. Step 4: Simplify right side
    10,146.22x = 79,398,064.44
  5. Step 5: Solve for x
    x = 79,398,064.44/10,146.22
  6. Step 6: Final answer
    x = 7,825.38

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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.