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Finding the Fourth Proportional to 6,967.80, 9,611.52 and 4,313.32

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Solution

The fourth proportional to 6,967.80, 9,611.52 and 4,313.32 is: 5,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.80 : 9,611.52 = 4,313.32 : x
  2. Step 2: Convert to fraction form
    6,967.80/9,611.52 = 4,313.32/x
  3. Step 3: Cross multiply
    6,967.80x = 9,611.52 × 4,313.32
  4. Step 4: Simplify right side
    6,967.80x = 41,457,561.45
  5. Step 5: Solve for x
    x = 41,457,561.45/6,967.80
  6. Step 6: Final answer
    x = 5,949.88

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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.