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Finding the Fourth Proportional to 27,472, 37,911.36 and 14,896.76

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Solution

The fourth proportional to 27,472, 37,911.36 and 14,896.76 is: 20,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472 : 37,911.36 = 14,896.76 : x
  2. Step 2: Convert to fraction form
    27,472/37,911.36 = 14,896.76/x
  3. Step 3: Cross multiply
    27,472x = 37,911.36 × 14,896.76
  4. Step 4: Simplify right side
    27,472x = 564,756,431.19
  5. Step 5: Solve for x
    x = 564,756,431.19/27,472
  6. Step 6: Final answer
    x = 20,557.53

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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.