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Finding the Fourth Proportional to 6,148.60, 9,222.80 and 1,531.60

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Solution

The fourth proportional to 6,148.60, 9,222.80 and 1,531.60 is: 2,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.60 : 9,222.80 = 1,531.60 : x
  2. Step 2: Convert to fraction form
    6,148.60/9,222.80 = 1,531.60/x
  3. Step 3: Cross multiply
    6,148.60x = 9,222.80 × 1,531.60
  4. Step 4: Simplify right side
    6,148.60x = 14,125,609.77
  5. Step 5: Solve for x
    x = 14,125,609.77/6,148.60
  6. Step 6: Final answer
    x = 2,297.37

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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.