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Finding the Fourth Proportional to 27,798.16, 41,699.09 and 9,784.22

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Solution

The fourth proportional to 27,798.16, 41,699.09 and 9,784.22 is: 14,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.16 : 41,699.09 = 9,784.22 : x
  2. Step 2: Convert to fraction form
    27,798.16/41,699.09 = 9,784.22/x
  3. Step 3: Cross multiply
    27,798.16x = 41,699.09 × 9,784.22
  4. Step 4: Simplify right side
    27,798.16x = 407,992,861.86
  5. Step 5: Solve for x
    x = 407,992,861.86/27,798.16
  6. Step 6: Final answer
    x = 14,676.97

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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.