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Finding the Fourth Proportional to 9,609.64, 13,255.62 and 7,244.36

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Solution

The fourth proportional to 9,609.64, 13,255.62 and 7,244.36 is: 9,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.64 : 13,255.62 = 7,244.36 : x
  2. Step 2: Convert to fraction form
    9,609.64/13,255.62 = 7,244.36/x
  3. Step 3: Cross multiply
    9,609.64x = 13,255.62 × 7,244.36
  4. Step 4: Simplify right side
    9,609.64x = 96,028,483.30
  5. Step 5: Solve for x
    x = 96,028,483.30/9,609.64
  6. Step 6: Final answer
    x = 9,992.93

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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.