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Finding the Fourth Proportional to 6,496.02, 9,744.60 and 1,816.08

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Solution

The fourth proportional to 6,496.02, 9,744.60 and 1,816.08 is: 2,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.02 : 9,744.60 = 1,816.08 : x
  2. Step 2: Convert to fraction form
    6,496.02/9,744.60 = 1,816.08/x
  3. Step 3: Cross multiply
    6,496.02x = 9,744.60 × 1,816.08
  4. Step 4: Simplify right side
    6,496.02x = 17,696,973.17
  5. Step 5: Solve for x
    x = 17,696,973.17/6,496.02
  6. Step 6: Final answer
    x = 2,724.28

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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.