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Finding the Fourth Proportional to 27,457.84, 41,186.76 and 7,738.48

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Solution

The fourth proportional to 27,457.84, 41,186.76 and 7,738.48 is: 11,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.84 : 41,186.76 = 7,738.48 : x
  2. Step 2: Convert to fraction form
    27,457.84/41,186.76 = 7,738.48/x
  3. Step 3: Cross multiply
    27,457.84x = 41,186.76 × 7,738.48
  4. Step 4: Simplify right side
    27,457.84x = 318,722,918.52
  5. Step 5: Solve for x
    x = 318,722,918.52/27,457.84
  6. Step 6: Final answer
    x = 11,607.72

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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.