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Finding the Fourth Proportional to 26,665.50, 40,004.73 and 8,197.50

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Solution

The fourth proportional to 26,665.50, 40,004.73 and 8,197.50 is: 12,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,665.50 : 40,004.73 = 8,197.50 : x
  2. Step 2: Convert to fraction form
    26,665.50/40,004.73 = 8,197.50/x
  3. Step 3: Cross multiply
    26,665.50x = 40,004.73 × 8,197.50
  4. Step 4: Simplify right side
    26,665.50x = 327,938,774.18
  5. Step 5: Solve for x
    x = 327,938,774.18/26,665.50
  6. Step 6: Final answer
    x = 12,298.24

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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.