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Finding the Fourth Proportional to 6,134.06, 9,201.02 and 1,517.06

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Solution

The fourth proportional to 6,134.06, 9,201.02 and 1,517.06 is: 2,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.06 : 9,201.02 = 1,517.06 : x
  2. Step 2: Convert to fraction form
    6,134.06/9,201.02 = 1,517.06/x
  3. Step 3: Cross multiply
    6,134.06x = 9,201.02 × 1,517.06
  4. Step 4: Simplify right side
    6,134.06x = 13,958,445.81
  5. Step 5: Solve for x
    x = 13,958,445.81/6,134.06
  6. Step 6: Final answer
    x = 2,275.57

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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.