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Finding the Fourth Proportional to 17,201.40, 23,737.71 and 9,649.65

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Solution

The fourth proportional to 17,201.40, 23,737.71 and 9,649.65 is: 13,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.40 : 23,737.71 = 9,649.65 : x
  2. Step 2: Convert to fraction form
    17,201.40/23,737.71 = 9,649.65/x
  3. Step 3: Cross multiply
    17,201.40x = 23,737.71 × 9,649.65
  4. Step 4: Simplify right side
    17,201.40x = 229,060,593.30
  5. Step 5: Solve for x
    x = 229,060,593.30/17,201.40
  6. Step 6: Final answer
    x = 13,316.39

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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.