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Finding the Fourth Proportional to 6,984.52, 10,478.48 and 2,304.64

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Solution

The fourth proportional to 6,984.52, 10,478.48 and 2,304.64 is: 3,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.52 : 10,478.48 = 2,304.64 : x
  2. Step 2: Convert to fraction form
    6,984.52/10,478.48 = 2,304.64/x
  3. Step 3: Cross multiply
    6,984.52x = 10,478.48 × 2,304.64
  4. Step 4: Simplify right side
    6,984.52x = 24,149,124.15
  5. Step 5: Solve for x
    x = 24,149,124.15/6,984.52
  6. Step 6: Final answer
    x = 3,457.52

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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.