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Finding the Fourth Proportional to 11,734.74, 17,602.11 and 7,116.66

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Solution

The fourth proportional to 11,734.74, 17,602.11 and 7,116.66 is: 10,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.74 : 17,602.11 = 7,116.66 : x
  2. Step 2: Convert to fraction form
    11,734.74/17,602.11 = 7,116.66/x
  3. Step 3: Cross multiply
    11,734.74x = 17,602.11 × 7,116.66
  4. Step 4: Simplify right side
    11,734.74x = 125,268,232.15
  5. Step 5: Solve for x
    x = 125,268,232.15/11,734.74
  6. Step 6: Final answer
    x = 10,674.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.