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Finding the Fourth Proportional to 27,564.60, 41,346.90 and 7,842.90

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Solution

The fourth proportional to 27,564.60, 41,346.90 and 7,842.90 is: 11,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.60 : 41,346.90 = 7,842.90 : x
  2. Step 2: Convert to fraction form
    27,564.60/41,346.90 = 7,842.90/x
  3. Step 3: Cross multiply
    27,564.60x = 41,346.90 × 7,842.90
  4. Step 4: Simplify right side
    27,564.60x = 324,279,602.01
  5. Step 5: Solve for x
    x = 324,279,602.01/27,564.60
  6. Step 6: Final answer
    x = 11,764.35

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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.