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Finding the Fourth Proportional to 6,746.01, 10,112.50 and 4,274.70

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Solution

The fourth proportional to 6,746.01, 10,112.50 and 4,274.70 is: 6,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.01 : 10,112.50 = 4,274.70 : x
  2. Step 2: Convert to fraction form
    6,746.01/10,112.50 = 4,274.70/x
  3. Step 3: Cross multiply
    6,746.01x = 10,112.50 × 4,274.70
  4. Step 4: Simplify right side
    6,746.01x = 43,227,903.75
  5. Step 5: Solve for x
    x = 43,227,903.75/6,746.01
  6. Step 6: Final answer
    x = 6,407.92

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