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Finding the Fourth Proportional to 12,663.65, 17,474.96 and 6,998.29

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Solution

The fourth proportional to 12,663.65, 17,474.96 and 6,998.29 is: 9,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.65 : 17,474.96 = 6,998.29 : x
  2. Step 2: Convert to fraction form
    12,663.65/17,474.96 = 6,998.29/x
  3. Step 3: Cross multiply
    12,663.65x = 17,474.96 × 6,998.29
  4. Step 4: Simplify right side
    12,663.65x = 122,294,811.63
  5. Step 5: Solve for x
    x = 122,294,811.63/12,663.65
  6. Step 6: Final answer
    x = 9,657.15

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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.