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Finding the Fourth Proportional to 27,762.44, 41,641.08 and 7,773.74

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Solution

The fourth proportional to 27,762.44, 41,641.08 and 7,773.74 is: 11,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.44 : 41,641.08 = 7,773.74 : x
  2. Step 2: Convert to fraction form
    27,762.44/41,641.08 = 7,773.74/x
  3. Step 3: Cross multiply
    27,762.44x = 41,641.08 × 7,773.74
  4. Step 4: Simplify right side
    27,762.44x = 323,706,987.02
  5. Step 5: Solve for x
    x = 323,706,987.02/27,762.44
  6. Step 6: Final answer
    x = 11,659.89

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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.