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Finding the Fourth Proportional to 6,695.12, 10,043 and 2,534.80

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Solution

The fourth proportional to 6,695.12, 10,043 and 2,534.80 is: 3,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.12 : 10,043 = 2,534.80 : x
  2. Step 2: Convert to fraction form
    6,695.12/10,043 = 2,534.80/x
  3. Step 3: Cross multiply
    6,695.12x = 10,043 × 2,534.80
  4. Step 4: Simplify right side
    6,695.12x = 25,456,996.40
  5. Step 5: Solve for x
    x = 25,456,996.40/6,695.12
  6. Step 6: Final answer
    x = 3,802.32

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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.