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Finding the Fourth Proportional to 7,672.44, 11,506.74 and 2,478.60

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Solution

The fourth proportional to 7,672.44, 11,506.74 and 2,478.60 is: 3,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.44 : 11,506.74 = 2,478.60 : x
  2. Step 2: Convert to fraction form
    7,672.44/11,506.74 = 2,478.60/x
  3. Step 3: Cross multiply
    7,672.44x = 11,506.74 × 2,478.60
  4. Step 4: Simplify right side
    7,672.44x = 28,520,605.76
  5. Step 5: Solve for x
    x = 28,520,605.76/7,672.44
  6. Step 6: Final answer
    x = 3,717.28

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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.