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Finding the Fourth Proportional to 6,698.52, 10,045.08 and 3,410.46

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Solution

The fourth proportional to 6,698.52, 10,045.08 and 3,410.46 is: 5,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.52 : 10,045.08 = 3,410.46 : x
  2. Step 2: Convert to fraction form
    6,698.52/10,045.08 = 3,410.46/x
  3. Step 3: Cross multiply
    6,698.52x = 10,045.08 × 3,410.46
  4. Step 4: Simplify right side
    6,698.52x = 34,258,343.54
  5. Step 5: Solve for x
    x = 34,258,343.54/6,698.52
  6. Step 6: Final answer
    x = 5,114.32

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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.