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Finding the Fourth Proportional to 6,698.64, 10,040.16 and 2,535.98

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Solution

The fourth proportional to 6,698.64, 10,040.16 and 2,535.98 is: 3,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.64 : 10,040.16 = 2,535.98 : x
  2. Step 2: Convert to fraction form
    6,698.64/10,040.16 = 2,535.98/x
  3. Step 3: Cross multiply
    6,698.64x = 10,040.16 × 2,535.98
  4. Step 4: Simplify right side
    6,698.64x = 25,461,644.96
  5. Step 5: Solve for x
    x = 25,461,644.96/6,698.64
  6. Step 6: Final answer
    x = 3,801.02

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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.