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Finding the Fourth Proportional to 7,191.75, 10,737.18 and 6,084.88

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Solution

The fourth proportional to 7,191.75, 10,737.18 and 6,084.88 is: 9,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.75 : 10,737.18 = 6,084.88 : x
  2. Step 2: Convert to fraction form
    7,191.75/10,737.18 = 6,084.88/x
  3. Step 3: Cross multiply
    7,191.75x = 10,737.18 × 6,084.88
  4. Step 4: Simplify right side
    7,191.75x = 65,334,451.84
  5. Step 5: Solve for x
    x = 65,334,451.84/7,191.75
  6. Step 6: Final answer
    x = 9,084.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.