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Finding the Fourth Proportional to 27,102.10, 40,664.77 and 10,473.80

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Solution

The fourth proportional to 27,102.10, 40,664.77 and 10,473.80 is: 15,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.10 : 40,664.77 = 10,473.80 : x
  2. Step 2: Convert to fraction form
    27,102.10/40,664.77 = 10,473.80/x
  3. Step 3: Cross multiply
    27,102.10x = 40,664.77 × 10,473.80
  4. Step 4: Simplify right side
    27,102.10x = 425,914,668.03
  5. Step 5: Solve for x
    x = 425,914,668.03/27,102.10
  6. Step 6: Final answer
    x = 15,715.19

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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.