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Finding the Fourth Proportional to 11,446.50, 15,790.88 and 7,466.16

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Solution

The fourth proportional to 11,446.50, 15,790.88 and 7,466.16 is: 10,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.50 : 15,790.88 = 7,466.16 : x
  2. Step 2: Convert to fraction form
    11,446.50/15,790.88 = 7,466.16/x
  3. Step 3: Cross multiply
    11,446.50x = 15,790.88 × 7,466.16
  4. Step 4: Simplify right side
    11,446.50x = 117,897,236.62
  5. Step 5: Solve for x
    x = 117,897,236.62/11,446.50
  6. Step 6: Final answer
    x = 10,299.85

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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.