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Finding the Fourth Proportional to 26,602.38, 39,903.96 and 7,884.31

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Solution

The fourth proportional to 26,602.38, 39,903.96 and 7,884.31 is: 11,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.38 : 39,903.96 = 7,884.31 : x
  2. Step 2: Convert to fraction form
    26,602.38/39,903.96 = 7,884.31/x
  3. Step 3: Cross multiply
    26,602.38x = 39,903.96 × 7,884.31
  4. Step 4: Simplify right side
    26,602.38x = 314,615,240.75
  5. Step 5: Solve for x
    x = 314,615,240.75/26,602.38
  6. Step 6: Final answer
    x = 11,826.58

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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.