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Finding the Fourth Proportional to 9,281.10, 13,972.26 and 8,464.62

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Solution

The fourth proportional to 9,281.10, 13,972.26 and 8,464.62 is: 12,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.10 : 13,972.26 = 8,464.62 : x
  2. Step 2: Convert to fraction form
    9,281.10/13,972.26 = 8,464.62/x
  3. Step 3: Cross multiply
    9,281.10x = 13,972.26 × 8,464.62
  4. Step 4: Simplify right side
    9,281.10x = 118,269,871.44
  5. Step 5: Solve for x
    x = 118,269,871.44/9,281.10
  6. Step 6: Final answer
    x = 12,743.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.