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Finding the Fourth Proportional to 9,573.66, 13,212 and 5,324.94

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Solution

The fourth proportional to 9,573.66, 13,212 and 5,324.94 is: 7,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.66 : 13,212 = 5,324.94 : x
  2. Step 2: Convert to fraction form
    9,573.66/13,212 = 5,324.94/x
  3. Step 3: Cross multiply
    9,573.66x = 13,212 × 5,324.94
  4. Step 4: Simplify right side
    9,573.66x = 70,353,107.28
  5. Step 5: Solve for x
    x = 70,353,107.28/9,573.66
  6. Step 6: Final answer
    x = 7,348.61

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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.