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Finding the Fourth Proportional to 11,504.93, 15,876.73 and 6,469.16

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Solution

The fourth proportional to 11,504.93, 15,876.73 and 6,469.16 is: 8,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.93 : 15,876.73 = 6,469.16 : x
  2. Step 2: Convert to fraction form
    11,504.93/15,876.73 = 6,469.16/x
  3. Step 3: Cross multiply
    11,504.93x = 15,876.73 × 6,469.16
  4. Step 4: Simplify right side
    11,504.93x = 102,709,074.30
  5. Step 5: Solve for x
    x = 102,709,074.30/11,504.93
  6. Step 6: Final answer
    x = 8,927.40

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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.