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Finding the Fourth Proportional to 12,704.67, 17,531.65 and 7,461.50

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Solution

The fourth proportional to 12,704.67, 17,531.65 and 7,461.50 is: 10,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.67 : 17,531.65 = 7,461.50 : x
  2. Step 2: Convert to fraction form
    12,704.67/17,531.65 = 7,461.50/x
  3. Step 3: Cross multiply
    12,704.67x = 17,531.65 × 7,461.50
  4. Step 4: Simplify right side
    12,704.67x = 130,812,511.21
  5. Step 5: Solve for x
    x = 130,812,511.21/12,704.67
  6. Step 6: Final answer
    x = 10,296.41

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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.