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Finding the Fourth Proportional to 17,602.91, 24,291.20 and 9,644.96

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Solution

The fourth proportional to 17,602.91, 24,291.20 and 9,644.96 is: 13,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.91 : 24,291.20 = 9,644.96 : x
  2. Step 2: Convert to fraction form
    17,602.91/24,291.20 = 9,644.96/x
  3. Step 3: Cross multiply
    17,602.91x = 24,291.20 × 9,644.96
  4. Step 4: Simplify right side
    17,602.91x = 234,287,555.01
  5. Step 5: Solve for x
    x = 234,287,555.01/17,602.91
  6. Step 6: Final answer
    x = 13,309.60

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Half 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.