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Finding the Fourth Proportional to 27,242.77, 40,861.08 and 7,524.13

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Solution

The fourth proportional to 27,242.77, 40,861.08 and 7,524.13 is: 11,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.77 : 40,861.08 = 7,524.13 : x
  2. Step 2: Convert to fraction form
    27,242.77/40,861.08 = 7,524.13/x
  3. Step 3: Cross multiply
    27,242.77x = 40,861.08 × 7,524.13
  4. Step 4: Simplify right side
    27,242.77x = 307,444,077.86
  5. Step 5: Solve for x
    x = 307,444,077.86/27,242.77
  6. Step 6: Final answer
    x = 11,285.35

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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.