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Finding the Fourth Proportional to 9,679.50, 13,350.42 and 6,700.32

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Solution

The fourth proportional to 9,679.50, 13,350.42 and 6,700.32 is: 9,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.50 : 13,350.42 = 6,700.32 : x
  2. Step 2: Convert to fraction form
    9,679.50/13,350.42 = 6,700.32/x
  3. Step 3: Cross multiply
    9,679.50x = 13,350.42 × 6,700.32
  4. Step 4: Simplify right side
    9,679.50x = 89,452,086.13
  5. Step 5: Solve for x
    x = 89,452,086.13/9,679.50
  6. Step 6: Final answer
    x = 9,241.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.