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Finding the Fourth Proportional to 9,472.88, 13,072.64 and 5,224.10

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Solution

The fourth proportional to 9,472.88, 13,072.64 and 5,224.10 is: 7,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.88 : 13,072.64 = 5,224.10 : x
  2. Step 2: Convert to fraction form
    9,472.88/13,072.64 = 5,224.10/x
  3. Step 3: Cross multiply
    9,472.88x = 13,072.64 × 5,224.10
  4. Step 4: Simplify right side
    9,472.88x = 68,292,687.14
  5. Step 5: Solve for x
    x = 68,292,687.14/9,472.88
  6. Step 6: Final answer
    x = 7,209.29

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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.