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Finding the Fourth Proportional to 12,504.72, 17,255.14 and 6,914.64

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Solution

The fourth proportional to 12,504.72, 17,255.14 and 6,914.64 is: 9,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.72 : 17,255.14 = 6,914.64 : x
  2. Step 2: Convert to fraction form
    12,504.72/17,255.14 = 6,914.64/x
  3. Step 3: Cross multiply
    12,504.72x = 17,255.14 × 6,914.64
  4. Step 4: Simplify right side
    12,504.72x = 119,313,081.25
  5. Step 5: Solve for x
    x = 119,313,081.25/12,504.72
  6. Step 6: Final answer
    x = 9,541.44

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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.