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Finding the Fourth Proportional to 12,573.30, 17,350.66 and 6,984.66

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Solution

The fourth proportional to 12,573.30, 17,350.66 and 6,984.66 is: 9,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.30 : 17,350.66 = 6,984.66 : x
  2. Step 2: Convert to fraction form
    12,573.30/17,350.66 = 6,984.66/x
  3. Step 3: Cross multiply
    12,573.30x = 17,350.66 × 6,984.66
  4. Step 4: Simplify right side
    12,573.30x = 121,188,460.88
  5. Step 5: Solve for x
    x = 121,188,460.88/12,573.30
  6. Step 6: Final answer
    x = 9,638.56

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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.