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Finding the Fourth Proportional to 9,605.97, 13,255.29 and 7,089.44

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Solution

The fourth proportional to 9,605.97, 13,255.29 and 7,089.44 is: 9,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.97 : 13,255.29 = 7,089.44 : x
  2. Step 2: Convert to fraction form
    9,605.97/13,255.29 = 7,089.44/x
  3. Step 3: Cross multiply
    9,605.97x = 13,255.29 × 7,089.44
  4. Step 4: Simplify right side
    9,605.97x = 93,972,516.86
  5. Step 5: Solve for x
    x = 93,972,516.86/9,605.97
  6. Step 6: Final answer
    x = 9,782.72

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Half scale
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Double scale
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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.