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Finding the Fourth Proportional to 11,467.64, 15,822.96 and 7,494.60

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Solution

The fourth proportional to 11,467.64, 15,822.96 and 7,494.60 is: 10,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.64 : 15,822.96 = 7,494.60 : x
  2. Step 2: Convert to fraction form
    11,467.64/15,822.96 = 7,494.60/x
  3. Step 3: Cross multiply
    11,467.64x = 15,822.96 × 7,494.60
  4. Step 4: Simplify right side
    11,467.64x = 118,586,756.02
  5. Step 5: Solve for x
    x = 118,586,756.02/11,467.64
  6. Step 6: Final answer
    x = 10,340.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.