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Finding the Fourth Proportional to 7,652.97, 11,478.14 and 2,105.08

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Solution

The fourth proportional to 7,652.97, 11,478.14 and 2,105.08 is: 3,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.97 : 11,478.14 = 2,105.08 : x
  2. Step 2: Convert to fraction form
    7,652.97/11,478.14 = 2,105.08/x
  3. Step 3: Cross multiply
    7,652.97x = 11,478.14 × 2,105.08
  4. Step 4: Simplify right side
    7,652.97x = 24,162,402.95
  5. Step 5: Solve for x
    x = 24,162,402.95/7,652.97
  6. Step 6: Final answer
    x = 3,157.26

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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.