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Finding the Fourth Proportional to 27,461, 37,896.36 and 14,885.84

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Solution

The fourth proportional to 27,461, 37,896.36 and 14,885.84 is: 20,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461 : 37,896.36 = 14,885.84 : x
  2. Step 2: Convert to fraction form
    27,461/37,896.36 = 14,885.84/x
  3. Step 3: Cross multiply
    27,461x = 37,896.36 × 14,885.84
  4. Step 4: Simplify right side
    27,461x = 564,119,151.54
  5. Step 5: Solve for x
    x = 564,119,151.54/27,461
  6. Step 6: Final answer
    x = 20,542.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.