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Finding the Fourth Proportional to 11,450.03, 15,802.16 and 6,414.26

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Solution

The fourth proportional to 11,450.03, 15,802.16 and 6,414.26 is: 8,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.03 : 15,802.16 = 6,414.26 : x
  2. Step 2: Convert to fraction form
    11,450.03/15,802.16 = 6,414.26/x
  3. Step 3: Cross multiply
    11,450.03x = 15,802.16 × 6,414.26
  4. Step 4: Simplify right side
    11,450.03x = 101,359,051.72
  5. Step 5: Solve for x
    x = 101,359,051.72/11,450.03
  6. Step 6: Final answer
    x = 8,852.30

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Similar ratio
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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.