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Finding the Fourth Proportional to 11,651.58, 17,466.03 and 6,446.52

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Solution

The fourth proportional to 11,651.58, 17,466.03 and 6,446.52 is: 9,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.58 : 17,466.03 = 6,446.52 : x
  2. Step 2: Convert to fraction form
    11,651.58/17,466.03 = 6,446.52/x
  3. Step 3: Cross multiply
    11,651.58x = 17,466.03 × 6,446.52
  4. Step 4: Simplify right side
    11,651.58x = 112,595,111.72
  5. Step 5: Solve for x
    x = 112,595,111.72/11,651.58
  6. Step 6: Final answer
    x = 9,663.51

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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.