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Finding the Fourth Proportional to 6,984.96, 10,487.16 and 3,524.64

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Solution

The fourth proportional to 6,984.96, 10,487.16 and 3,524.64 is: 5,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.96 : 10,487.16 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    6,984.96/10,487.16 = 3,524.64/x
  3. Step 3: Cross multiply
    6,984.96x = 10,487.16 × 3,524.64
  4. Step 4: Simplify right side
    6,984.96x = 36,963,463.62
  5. Step 5: Solve for x
    x = 36,963,463.62/6,984.96
  6. Step 6: Final answer
    x = 5,291.86

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1.5x scale

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.