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Finding the Fourth Proportional to 7,170.32, 9,895.92 and 4,517.84

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Solution

The fourth proportional to 7,170.32, 9,895.92 and 4,517.84 is: 6,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.32 : 9,895.92 = 4,517.84 : x
  2. Step 2: Convert to fraction form
    7,170.32/9,895.92 = 4,517.84/x
  3. Step 3: Cross multiply
    7,170.32x = 9,895.92 × 4,517.84
  4. Step 4: Simplify right side
    7,170.32x = 44,708,183.21
  5. Step 5: Solve for x
    x = 44,708,183.21/7,170.32
  6. Step 6: Final answer
    x = 6,235.17

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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.