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Finding the Fourth Proportional to 7,110.06, 10,665.09 and 3,410.70

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Solution

The fourth proportional to 7,110.06, 10,665.09 and 3,410.70 is: 5,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.06 : 10,665.09 = 3,410.70 : x
  2. Step 2: Convert to fraction form
    7,110.06/10,665.09 = 3,410.70/x
  3. Step 3: Cross multiply
    7,110.06x = 10,665.09 × 3,410.70
  4. Step 4: Simplify right side
    7,110.06x = 36,375,422.46
  5. Step 5: Solve for x
    x = 36,375,422.46/7,110.06
  6. Step 6: Final answer
    x = 5,116.05

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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.