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Finding the Fourth Proportional to 27,309.40, 40,980.01 and 11,513.46

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Solution

The fourth proportional to 27,309.40, 40,980.01 and 11,513.46 is: 17,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.40 : 40,980.01 = 11,513.46 : x
  2. Step 2: Convert to fraction form
    27,309.40/40,980.01 = 11,513.46/x
  3. Step 3: Cross multiply
    27,309.40x = 40,980.01 × 11,513.46
  4. Step 4: Simplify right side
    27,309.40x = 471,821,705.93
  5. Step 5: Solve for x
    x = 471,821,705.93/27,309.40
  6. Step 6: Final answer
    x = 17,276.90

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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.