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Finding the Fourth Proportional to 9,180.64, 13,734.91 and 7,084.81

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Solution

The fourth proportional to 9,180.64, 13,734.91 and 7,084.81 is: 10,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.64 : 13,734.91 = 7,084.81 : x
  2. Step 2: Convert to fraction form
    9,180.64/13,734.91 = 7,084.81/x
  3. Step 3: Cross multiply
    9,180.64x = 13,734.91 × 7,084.81
  4. Step 4: Simplify right side
    9,180.64x = 97,309,123.62
  5. Step 5: Solve for x
    x = 97,309,123.62/9,180.64
  6. Step 6: Final answer
    x = 10,599.39

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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.