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Finding the Fourth Proportional to 7,871.67, 11,804.52 and 2,605.10

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Solution

The fourth proportional to 7,871.67, 11,804.52 and 2,605.10 is: 3,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.67 : 11,804.52 = 2,605.10 : x
  2. Step 2: Convert to fraction form
    7,871.67/11,804.52 = 2,605.10/x
  3. Step 3: Cross multiply
    7,871.67x = 11,804.52 × 2,605.10
  4. Step 4: Simplify right side
    7,871.67x = 30,751,955.05
  5. Step 5: Solve for x
    x = 30,751,955.05/7,871.67
  6. Step 6: Final answer
    x = 3,906.66

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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.