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Finding the Fourth Proportional to 6,498.36, 9,736.42 and 5,465.04

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Solution

The fourth proportional to 6,498.36, 9,736.42 and 5,465.04 is: 8,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.36 : 9,736.42 = 5,465.04 : x
  2. Step 2: Convert to fraction form
    6,498.36/9,736.42 = 5,465.04/x
  3. Step 3: Cross multiply
    6,498.36x = 9,736.42 × 5,465.04
  4. Step 4: Simplify right side
    6,498.36x = 53,209,924.76
  5. Step 5: Solve for x
    x = 53,209,924.76/6,498.36
  6. Step 6: Final answer
    x = 8,188.21

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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.