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Finding the Fourth Proportional to 27,728.63, 41,602.14 and 9,009.26

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Solution

The fourth proportional to 27,728.63, 41,602.14 and 9,009.26 is: 13,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.63 : 41,602.14 = 9,009.26 : x
  2. Step 2: Convert to fraction form
    27,728.63/41,602.14 = 9,009.26/x
  3. Step 3: Cross multiply
    27,728.63x = 41,602.14 × 9,009.26
  4. Step 4: Simplify right side
    27,728.63x = 374,804,495.82
  5. Step 5: Solve for x
    x = 374,804,495.82/27,728.63
  6. Step 6: Final answer
    x = 13,516.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.