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Finding the Fourth Proportional to 12,837.21, 17,715.48 and 7,532.11

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Solution

The fourth proportional to 12,837.21, 17,715.48 and 7,532.11 is: 10,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.21 : 17,715.48 = 7,532.11 : x
  2. Step 2: Convert to fraction form
    12,837.21/17,715.48 = 7,532.11/x
  3. Step 3: Cross multiply
    12,837.21x = 17,715.48 × 7,532.11
  4. Step 4: Simplify right side
    12,837.21x = 133,434,944.06
  5. Step 5: Solve for x
    x = 133,434,944.06/12,837.21
  6. Step 6: Final answer
    x = 10,394.39

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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.