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Finding the Fourth Proportional to 6,291.56, 9,437.67 and 1,611.60

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Solution

The fourth proportional to 6,291.56, 9,437.67 and 1,611.60 is: 2,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.56 : 9,437.67 = 1,611.60 : x
  2. Step 2: Convert to fraction form
    6,291.56/9,437.67 = 1,611.60/x
  3. Step 3: Cross multiply
    6,291.56x = 9,437.67 × 1,611.60
  4. Step 4: Simplify right side
    6,291.56x = 15,209,748.97
  5. Step 5: Solve for x
    x = 15,209,748.97/6,291.56
  6. Step 6: Final answer
    x = 2,417.49

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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.