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Finding the Fourth Proportional to 27,484.38, 41,226.48 and 7,762.86

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Solution

The fourth proportional to 27,484.38, 41,226.48 and 7,762.86 is: 11,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484.38 : 41,226.48 = 7,762.86 : x
  2. Step 2: Convert to fraction form
    27,484.38/41,226.48 = 7,762.86/x
  3. Step 3: Cross multiply
    27,484.38x = 41,226.48 × 7,762.86
  4. Step 4: Simplify right side
    27,484.38x = 320,035,392.53
  5. Step 5: Solve for x
    x = 320,035,392.53/27,484.38
  6. Step 6: Final answer
    x = 11,644.26

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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.