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Finding the Fourth Proportional to 6,698.64, 10,041.64 and 3,407.88

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Solution

The fourth proportional to 6,698.64, 10,041.64 and 3,407.88 is: 5,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.64 : 10,041.64 = 3,407.88 : x
  2. Step 2: Convert to fraction form
    6,698.64/10,041.64 = 3,407.88/x
  3. Step 3: Cross multiply
    6,698.64x = 10,041.64 × 3,407.88
  4. Step 4: Simplify right side
    6,698.64x = 34,220,704.12
  5. Step 5: Solve for x
    x = 34,220,704.12/6,698.64
  6. Step 6: Final answer
    x = 5,108.60

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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.