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Finding the Fourth Proportional to 10,467.60, 15,672.60 and 9,949.20

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Solution

The fourth proportional to 10,467.60, 15,672.60 and 9,949.20 is: 14,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.60 : 15,672.60 = 9,949.20 : x
  2. Step 2: Convert to fraction form
    10,467.60/15,672.60 = 9,949.20/x
  3. Step 3: Cross multiply
    10,467.60x = 15,672.60 × 9,949.20
  4. Step 4: Simplify right side
    10,467.60x = 155,929,831.92
  5. Step 5: Solve for x
    x = 155,929,831.92/10,467.60
  6. Step 6: Final answer
    x = 14,896.43

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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.