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Finding the Fourth Proportional to 27,796.70, 41,666.70 and 13,735.10

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Solution

The fourth proportional to 27,796.70, 41,666.70 and 13,735.10 is: 20,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.70 : 41,666.70 = 13,735.10 : x
  2. Step 2: Convert to fraction form
    27,796.70/41,666.70 = 13,735.10/x
  3. Step 3: Cross multiply
    27,796.70x = 41,666.70 × 13,735.10
  4. Step 4: Simplify right side
    27,796.70x = 572,296,291.17
  5. Step 5: Solve for x
    x = 572,296,291.17/27,796.70
  6. Step 6: Final answer
    x = 20,588.64

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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.