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Finding the Fourth Proportional to 27,152, 37,472.76 and 15,216.44

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Solution

The fourth proportional to 27,152, 37,472.76 and 15,216.44 is: 21,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152 : 37,472.76 = 15,216.44 : x
  2. Step 2: Convert to fraction form
    27,152/37,472.76 = 15,216.44/x
  3. Step 3: Cross multiply
    27,152x = 37,472.76 × 15,216.44
  4. Step 4: Simplify right side
    27,152x = 570,202,004.17
  5. Step 5: Solve for x
    x = 570,202,004.17/27,152
  6. Step 6: Final answer
    x = 21,000.37

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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.